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	3120a	Isogeny class
Conductor	3120	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	219024000000 = 210 · 34 · 56 · 132	Discriminant
Eigenvalues	2+ 3+ 5+  0  0 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4896,-128304]	[a1,a2,a3,a4,a6]
Generators	[-40:44:1]	Generators of the group modulo torsion
j	12677589459076/213890625	j-invariant
L	2.7398327179869	L(r)(E,1)/r!
Ω	0.57131577520162	Real period
R	2.3978269434447	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	1560c2 12480db2 9360q2 15600r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3120a2

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

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Quadratic twists for elliptic curve 3120a2

-4	8	-3	5	13
1560c2	12480db2	9360q2	15600r2	40560h2

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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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