Cremona's table of elliptic curves

8970 = 2 · 3 · 5 · 13 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13- 23-	Signs for the Atkin-Lehner involutions
Class	8970o	Isogeny class
Conductor	8970	Conductor
∏ cp	320	Product of Tamagawa factors cp
Δ	1.3486341137283E+21	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-72434035,-237304147663]	[a1,a2,a3,a4,a6]
Generators	[10317:331996:1]	Generators of the group modulo torsion
j	42029260466416570099189560241/1348634113728316646400	j-invariant
L	5.8349690388324	L(r)(E,1)/r!
Ω	0.051750520371118	Real period
R	5.6375945565263	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	71760cc4 26910p4 44850r4 116610e4	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 8970o3

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

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Quadratic twists for elliptic curve 8970o3

-4	-3	5	13
71760cc4	26910p4	44850r4	116610e4

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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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