Atkin-Lehner |
3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111825s |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
26748889453125 = 39 · 58 · 72 · 71 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -1 4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15867,731916] |
[a1,a2,a3,a4,a6] |
j |
1551443665/93933 |
j-invariant |
L |
2.6272941681643 |
L(r)(E,1)/r! |
Ω |
0.65682328473281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37275k1 111825h1 |
Quadratic twists by: -3 5 |