Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950ci |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-76029382000000 = -1 · 27 · 56 · 113 · 134 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8362,-295469] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1587:1] |
Generators of the group modulo torsion |
j |
144896375/170368 |
j-invariant |
L |
14.114981551391 |
L(r)(E,1)/r! |
Ω |
0.32900904823493 |
Real period |
R |
1.0214642773786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718j1 92950d1 |
Quadratic twists by: 5 13 |