Cremona's table of elliptic curves

30960 = 2⁴ · 3² · 5 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 43-	Signs for the Atkin-Lehner involutions
Class	30960cd	Isogeny class
Conductor	30960	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	1531272762777600 = 213 · 37 · 52 · 434	Discriminant
Eigenvalues	2- 3- 5- -4  0 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-120747,16039514]	[a1,a2,a3,a4,a6]
Generators	[223:450:1]	Generators of the group modulo torsion
j	65202655558249/512820150	j-invariant
L	4.5423499034368	L(r)(E,1)/r!
Ω	0.47906131120188	Real period
R	2.3704428834176	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	3870y3 123840ey4 10320s3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 30960cd4

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
-	-	-	-4	0	-2	-2	-4	0	-2	0	10	6	-	-8	-2	0	2	4	8	10	8	16	-6	2

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Quadratic twists for elliptic curve 30960cd4

-4	8	-3
3870y3	123840ey4	10320s3

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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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