Cremona's table of elliptic curves

18480 = 2⁴ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7- 11+	Signs for the Atkin-Lehner involutions
Class	18480o	Isogeny class
Conductor	18480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	73728	Modular degree for the optimal curve
Δ	612569087056080 = 24 · 36 · 5 · 72 · 118	Discriminant
Eigenvalues	2+ 3+ 5- 7- 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-64415,-6157458]	[a1,a2,a3,a4,a6]
Generators	[-70776:150423:512]	Generators of the group modulo torsion
j	1847444944806639616/38285567941005	j-invariant
L	4.773750436439	L(r)(E,1)/r!
Ω	0.30005403655362	Real period
R	7.95481789092	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9240bh1 73920gx1 55440v1 92400bs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480o1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	-	-	+	-2	2	4	0	-2	8	-2	-6	-4	-8	-10	4	-2	12	-8	-14	-8	-12	-6	-14

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Quadratic twists for elliptic curve 18480o1

-4	8	-3	5	-7
9240bh1	73920gx1	55440v1	92400bs1	129360bw1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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