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	18480bh	Isogeny class
Conductor	18480	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-304254720 = -1 · 28 · 32 · 5 · 74 · 11	Discriminant
Eigenvalues	2+ 3- 5- 7- 11-  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,100,780]	[a1,a2,a3,a4,a6]
Generators	[-2:24:1]	Generators of the group modulo torsion
j	427694384/1188495	j-invariant
L	6.9023607754164	L(r)(E,1)/r!
Ω	1.2109058894339	Real period
R	1.425040714486	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	9240d1 73920er1 55440p1 92400i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480bh1

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	-8	0	-6	-8	10	-2	-4	4	-6	4	-10	0	-8	6	-4	12	-6	-2

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Quadratic twists for elliptic curve 18480bh1

-4	8	-3	5	-7
9240d1	73920er1	55440p1	92400i1	129360ba1

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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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