Atkin-Lehner |
2- 3+ 11- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32538p |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-476360484864 = -1 · 211 · 3 · 11 · 172 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 11- -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-726,33747] |
[a1,a2,a3,a4,a6] |
Generators |
[63:461:1] |
Generators of the group modulo torsion |
j |
-42322465662049/476360484864 |
j-invariant |
L |
7.0756464409552 |
L(r)(E,1)/r! |
Ω |
0.79467945303464 |
Real period |
R |
0.13490567026428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97614f1 |
Quadratic twists by: -3 |