Atkin-Lehner |
3- 5- 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
88245g |
Isogeny class |
Conductor |
88245 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
114912 |
Modular degree for the optimal curve |
Δ |
244634995125 = 36 · 53 · 373 · 53 |
Discriminant |
Eigenvalues |
1 3- 5- 2 3 3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4074,98243] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:399:1] |
Generators of the group modulo torsion |
j |
10259335203489/335576125 |
j-invariant |
L |
9.9973669256013 |
L(r)(E,1)/r! |
Ω |
0.98184581682217 |
Real period |
R |
1.1313574174921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9805b1 |
Quadratic twists by: -3 |