Atkin-Lehner |
2- 3- 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32922l |
Isogeny class |
Conductor |
32922 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-3268307894486335488 = -1 · 215 · 310 · 315 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94550,87720549] |
[a1,a2,a3,a4,a6] |
Generators |
[-343:9099:1] |
Generators of the group modulo torsion |
j |
-128226112918809625/4483275575427072 |
j-invariant |
L |
10.215512494285 |
L(r)(E,1)/r! |
Ω |
0.20965368208625 |
Real period |
R |
0.32483768446552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10974d1 |
Quadratic twists by: -3 |