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	3120m	Isogeny class
Conductor	3120	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	-112320000000 = -1 · 212 · 33 · 57 · 13	Discriminant
Eigenvalues	2- 3+ 5+  1 -5 13+ -7  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1061,21261]	[a1,a2,a3,a4,a6]
j	-32278933504/27421875	j-invariant
L	0.96471030167748	L(r)(E,1)/r!
Ω	0.96471030167748	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	195c1 12480dd1 9360bt1 15600cj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3120m1

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
-	+	+	1	-5	+	-7	6	-3	2	-2	7	9	8	-10	5	0	5	4	-9	-6	3	4	11	-11

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Quadratic twists for elliptic curve 3120m1

-4	8	-3	5	13
195c1	12480dd1	9360bt1	15600cj1	40560bp1

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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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