Cremona's table of elliptic curves

3120 = 2⁴ · 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13+	Signs for the Atkin-Lehner involutions
Class	3120o	Isogeny class
Conductor	3120	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	7680	Modular degree for the optimal curve
Δ	-10887742095360 = -1 · 232 · 3 · 5 · 132	Discriminant
Eigenvalues	2- 3+ 5+ -4  0 13+ -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4616,-197904]	[a1,a2,a3,a4,a6]
j	-2656166199049/2658140160	j-invariant
L	0.55672372639476	L(r)(E,1)/r!
Ω	0.27836186319738	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	390g1 12480dg1 9360bz1 15600cl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3120o1

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	-4	-8	2	8	2	-6	-12	0	10	0	-10	4	16	-6	8	4	-14	-6

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Quadratic twists for elliptic curve 3120o1

-4	8	-3	5	13
390g1	12480dg1	9360bz1	15600cl1	40560bu1

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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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