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	3120g	Isogeny class
Conductor	3120	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	19712160000 = 28 · 36 · 54 · 132	Discriminant
Eigenvalues	2+ 3- 5+  0  0 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-676,-676]	[a1,a2,a3,a4,a6]
Generators	[-13:78:1]	Generators of the group modulo torsion
j	133649126224/77000625	j-invariant
L	3.7826824181239	L(r)(E,1)/r!
Ω	1.0196034031848	Real period
R	1.2366515602402	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	1560i2 12480bz2 9360s2 15600a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3120g2

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

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Quadratic twists for elliptic curve 3120g2

-4	8	-3	5	13
1560i2	12480bz2	9360s2	15600a2	40560y2

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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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