Atkin-Lehner |
2- 3- 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238cl |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
22263406308 = 22 · 37 · 11 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-824,-5385] |
[a1,a2,a3,a4,a6] |
j |
84778086457/30539652 |
j-invariant |
L |
7.3429424583725 |
L(r)(E,1)/r! |
Ω |
0.91786778532092 |
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 |
31746a1 |
Quadratic twists by: -3 |