Cremona's table of elliptic curves

Curve 97461v2

97461 = 32 · 72 · 13 · 17



Data for elliptic curve 97461v2

Field Data Notes
Atkin-Lehner 3- 7- 13- 17- Signs for the Atkin-Lehner involutions
Class 97461v Isogeny class
Conductor 97461 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 2114107180192917 = 314 · 76 · 13 · 172 Discriminant
Eigenvalues  1 3-  0 7-  2 13- 17-  0 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-43227,2670268] [a1,a2,a3,a4,a6]
Generators [-232:530:1] Generators of the group modulo torsion
j 104154702625/24649677 j-invariant
L 8.2865125723987 L(r)(E,1)/r!
Ω 0.43618977817615 Real period
R 4.7493734303731 Regulator
r 1 Rank of the group of rational points
S 1.0000000000143 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 32487g2 1989a2 Quadratic twists by: -3 -7


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations