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	2370h	Isogeny class
Conductor	2370	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	2.056267780485E+19	Discriminant
Eigenvalues	2- 3+ 5+ -4  2 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1559706,-717947097]	[a1,a2,a3,a4,a6]
j	419615921258983922590369/20562677804850278400	j-invariant
L	1.6260676026589	L(r)(E,1)/r!
Ω	0.1355056335549	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18960u2 75840bj2 7110m2 11850q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2370h2

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

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Quadratic twists for elliptic curve 2370h2

-4	8	-3	5	-7
18960u2	75840bj2	7110m2	11850q2	116130dk2

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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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