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	64	Product of Tamagawa factors cp
Δ	570477600000000 = 211 · 33 · 58 · 74 · 11	Discriminant
Eigenvalues	2+ 3+ 5- 7- 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-30425680,64606578400]	[a1,a2,a3,a4,a6]
Generators	[7410:495950:1]	Generators of the group modulo torsion
j	1520949008089505953959842/278553515625	j-invariant
L	4.773750436439	L(r)(E,1)/r!
Ω	0.30005403655362	Real period
R	3.97740894546	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9240bh5 73920gx6 55440v6 92400bs6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480o5

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 18480o5

-4	8	-3	5	-7
9240bh5	73920gx6	55440v6	92400bs6	129360bw6

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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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