Atkin-Lehner |
3+ 5+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
112575b |
Isogeny class |
Conductor |
112575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-13066258355859375 = -1 · 32 · 58 · 196 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47900,-6841125] |
[a1,a2,a3,a4,a6] |
j |
-777901113206209/836240534775 |
j-invariant |
L |
0.61912012758206 |
L(r)(E,1)/r! |
Ω |
0.15478009797769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22515d1 |
Quadratic twists by: 5 |