Atkin-Lehner |
2+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950z |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
2627879780624384000 = 214 · 53 · 112 · 139 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4643785,-3852879675] |
[a1,a2,a3,a4,a6] |
j |
18355661683238069/4355473408 |
j-invariant |
L |
0.82276835949678 |
L(r)(E,1)/r! |
Ω |
0.10284606987364 |
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 |
92950cr1 7150v1 |
Quadratic twists by: 5 13 |