Cremona's table of elliptic curves

Curve 8970b3

8970 = 2 · 3 · 5 · 13 · 23



Data for elliptic curve 8970b3

Field Data Notes
Atkin-Lehner 2+ 3+ 5+ 13- 23+ Signs for the Atkin-Lehner involutions
Class 8970b Isogeny class
Conductor 8970 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 8246146750089300 = 22 · 34 · 52 · 13 · 238 Discriminant
Eigenvalues 2+ 3+ 5+  4  4 13- -6  8 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-59403,3434553] [a1,a2,a3,a4,a6]
j 23182500134142276409/8246146750089300 j-invariant
L 1.5193585280587 L(r)(E,1)/r!
Ω 0.37983963201468 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 71760bu3 26910bn3 44850ca3 116610cc3 Quadratic twists by: -4 -3 5 13


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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