Atkin-Lehner |
2+ 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
91630f |
Isogeny class |
Conductor |
91630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-423704111002480 = -1 · 24 · 5 · 78 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16130,-1261884] |
[a1,a2,a3,a4,a6] |
Generators |
[1486:10919:8] |
Generators of the group modulo torsion |
j |
-3945060967401/3601425520 |
j-invariant |
L |
3.1541667413808 |
L(r)(E,1)/r! |
Ω |
0.2041095612819 |
Real period |
R |
1.931662780073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090h1 |
Quadratic twists by: -7 |