Atkin-Lehner |
5+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
37525a |
Isogeny class |
Conductor |
37525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-55701171875 = -1 · 59 · 192 · 79 |
Discriminant |
Eigenvalues |
0 1 5+ 3 5 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33,11344] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:471:8] |
Generators of the group modulo torsion |
j |
-262144/3564875 |
j-invariant |
L |
7.0120565628463 |
L(r)(E,1)/r! |
Ω |
0.89328034799778 |
Real period |
R |
1.9624456584551 |
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 |
7505a1 |
Quadratic twists by: 5 |