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	3120i	Isogeny class
Conductor	3120	Conductor
∏ cp	240	Product of Tamagawa factors cp
Δ	2554695936000 = 211 · 310 · 53 · 132	Discriminant
Eigenvalues	2+ 3- 5- -2 -4 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4280,74100]	[a1,a2,a3,a4,a6]
Generators	[10:180:1]	Generators of the group modulo torsion
j	4234737878642/1247410125	j-invariant
L	3.9182528312451	L(r)(E,1)/r!
Ω	0.75431799112229	Real period
R	0.086573851641697	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	1560b2 12480bx2 9360i2 15600i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3120i2

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

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Quadratic twists for elliptic curve 3120i2

-4	8	-3	5	13
1560b2	12480bx2	9360i2	15600i2	40560r2

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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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