Cremona's table of elliptic curves

6370 = 2 · 5 · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 13+	Signs for the Atkin-Lehner involutions
Class	6370x	Isogeny class
Conductor	6370	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	6958938350 = 2 · 52 · 77 · 132	Discriminant
Eigenvalues	2- -2 5- 7-  4 13+  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3725,-87725]	[a1,a2,a3,a4,a6]
j	48587168449/59150	j-invariant
L	2.4446073690673	L(r)(E,1)/r!
Ω	0.61115184226684	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	50960br2 57330be2 31850ba2 910i2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6370x2

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	+	0	2	2	-2	0	2	0	-4	0	4	6	-6	4	-6	14	-8	12	0	18

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Quadratic twists for elliptic curve 6370x2

-4	-3	5	-7	13
50960br2	57330be2	31850ba2	910i2	82810q2

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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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