Cremona's table of elliptic curves

2370 = 2 · 3 · 5 · 79

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 79+	Signs for the Atkin-Lehner involutions
Class	2370i	Isogeny class
Conductor	2370	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	670669307893760400 = 24 · 316 · 52 · 794	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-855200,301486385]	[a1,a2,a3,a4,a6]
Generators	[16941:86611:27]	Generators of the group modulo torsion
j	69171440576913039628801/670669307893760400	j-invariant
L	4.0211037459999	L(r)(E,1)/r!
Ω	0.28842536370664	Real period
R	6.970787337014	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	18960w4 75840v3 7110e4 11850l3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2370i3

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

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Quadratic twists for elliptic curve 2370i3

-4	8	-3	5	-7
18960w4	75840v3	7110e4	11850l3	116130cz3

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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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