Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288bk |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
617414131411174656 = 28 · 35 · 138 · 233 |
Discriminant |
Eigenvalues |
2- 3- -1 0 -3 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-213841,4341923] |
[a1,a2,a3,a4,a6] |
Generators |
[-451:3042:1] [-226:6417:1] |
Generators of the group modulo torsion |
j |
5178594304/2956581 |
j-invariant |
L |
12.3651737406 |
L(r)(E,1)/r! |
Ω |
0.24784204572076 |
Real period |
R |
0.5543483106045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93288q1 |
Quadratic twists by: 13 |