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	3120h	Isogeny class
Conductor	3120	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	7896545280 = 211 · 33 · 5 · 134	Discriminant
Eigenvalues	2+ 3- 5+  0 -4 13- -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5816,-172620]	[a1,a2,a3,a4,a6]
Generators	[-44:6:1]	Generators of the group modulo torsion
j	10625310339698/3855735	j-invariant
L	3.7250127308565	L(r)(E,1)/r!
Ω	0.54669700003049	Real period
R	1.1356116004078	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1560a4 12480ca3 9360t4 15600d3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3120h3

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

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Quadratic twists for elliptic curve 3120h3

-4	8	-3	5	13
1560a4	12480ca3	9360t4	15600d3	40560z4

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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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