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	640	Product of Tamagawa factors cp
Δ	9.8953761001072E+22	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-20896115,33497702705]	[a1,a2,a3,a4,a6]
Generators	[-337:201418:1]	Generators of the group modulo torsion
j	1009067834293167151843619761/98953761001071600000000	j-invariant
L	5.8349690388324	L(r)(E,1)/r!
Ω	0.10350104074224	Real period
R	1.4093986391316	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	71760cc3 26910p3 44850r3 116610e3	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 8970o4

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 8970o4

-4	-3	5	13
71760cc3	26910p3	44850r3	116610e3

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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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