Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288br |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
4779931030992 = 24 · 32 · 137 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 2 -6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5295,-106326] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:207:1] [95:507:1] |
Generators of the group modulo torsion |
j |
212629504/61893 |
j-invariant |
L |
10.808313029124 |
L(r)(E,1)/r! |
Ω |
0.57213524455778 |
Real period |
R |
2.3613981861384 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176i1 |
Quadratic twists by: 13 |