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	8970l	Isogeny class
Conductor	8970	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	59671196032500 = 22 · 38 · 54 · 13 · 234	Discriminant
Eigenvalues	2- 3+ 5+ -4  0 13-  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-174226,-28061077]	[a1,a2,a3,a4,a6]
Generators	[1397:48873:1]	Generators of the group modulo torsion
j	584874606003693846049/59671196032500	j-invariant
L	4.54059383571	L(r)(E,1)/r!
Ω	0.2336812994005	Real period
R	4.8576777938145	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	71760bt4 26910v4 44850u4 116610o4	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 8970l3

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	0	-	2	0	+	-2	0	2	2	12	0	-2	4	-10	-8	0	-14	0	16	-10	14

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Quadratic twists for elliptic curve 8970l3

-4	-3	5	13
71760bt4	26910v4	44850u4	116610o4

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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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