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	2370a	Isogeny class
Conductor	2370	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-1137600 = -1 · 26 · 32 · 52 · 79	Discriminant
Eigenvalues	2+ 3+ 5+  2 -4 -2  4  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,2,52]	[a1,a2,a3,a4,a6]
Generators	[1:7:1]	Generators of the group modulo torsion
j	357911/1137600	j-invariant
L	1.9578151858059	L(r)(E,1)/r!
Ω	2.1581890841468	Real period
R	0.45357823375792	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	18960s1 75840bg1 7110t1 11850ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2370a1

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

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Quadratic twists for elliptic curve 2370a1

-4	8	-3	5	-7
18960s1	75840bg1	7110t1	11850ba1	116130bp1

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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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