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	2370f	Isogeny class
Conductor	2370	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1280	Modular degree for the optimal curve
Δ	-370312500 = -1 · 22 · 3 · 58 · 79	Discriminant
Eigenvalues	2- 3+ 5+  1 -3  3  3 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-341,-2737]	[a1,a2,a3,a4,a6]
j	-4385977971409/370312500	j-invariant
L	2.2112772560905	L(r)(E,1)/r!
Ω	0.55281931402262	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18960q1 75840bd1 7110k1 11850m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2370f1

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
-	+	+	1	-3	3	3	-6	1	9	4	4	2	-5	0	14	14	4	-10	-10	-1	+	15	-4	-1

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Quadratic twists for elliptic curve 2370f1

-4	8	-3	5	-7
18960q1	75840bd1	7110k1	11850m1	116130dm1

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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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