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	2370m	Isogeny class
Conductor	2370	Conductor
∏ cp	375	Product of Tamagawa factors cp
deg	10200	Modular degree for the optimal curve
Δ	-113356365300000 = -1 · 25 · 315 · 55 · 79	Discriminant
Eigenvalues	2- 3- 5- -2  2 -1  8  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3280,-517600]	[a1,a2,a3,a4,a6]
j	-3902595313317121/113356365300000	j-invariant
L	3.8584719031286	L(r)(E,1)/r!
Ω	0.25723146020857	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	18960o1 75840d1 7110f1 11850b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2370m1

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	2	-1	8	5	-6	0	-8	8	7	-1	-7	9	5	-13	-2	12	14	+	9	0	8

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Quadratic twists for elliptic curve 2370m1

-4	8	-3	5	-7
18960o1	75840d1	7110f1	11850b1	116130cb1

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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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