Atkin-Lehner |
2- 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558bu |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12830400 |
Modular degree for the optimal curve |
Δ |
-55021101249159738 = -1 · 2 · 35 · 7 · 119 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-170280459,-855325379325] |
[a1,a2,a3,a4,a6] |
Generators |
[7825388891200344336167216610:1344780336626762023701281514435:222148350582415335774424] |
Generators of the group modulo torsion |
j |
-231570899379153657107/23334318 |
j-invariant |
L |
5.1333219193861 |
L(r)(E,1)/r! |
Ω |
0.020896731182924 |
Real period |
R |
40.94198493256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96558p1 |
Quadratic twists by: -11 |