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	8970h	Isogeny class
Conductor	8970	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	176228681616000000 = 210 · 36 · 56 · 134 · 232	Discriminant
Eigenvalues	2- 3+ 5+  0 -4 13+  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-278766,-53044437]	[a1,a2,a3,a4,a6]
j	2395759505028485296609/176228681616000000	j-invariant
L	2.0873843762755	L(r)(E,1)/r!
Ω	0.20873843762755	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	71760bo2 26910s2 44850ba2 116610j2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 8970h2

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

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Quadratic twists for elliptic curve 8970h2

-4	-3	5	13
71760bo2	26910s2	44850ba2	116610j2

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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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