Atkin-Lehner |
2+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35594a |
Isogeny class |
Conductor |
35594 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
19745830443664 = 24 · 13 · 377 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 6 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11893,-448155] |
[a1,a2,a3,a4,a6] |
Generators |
[-530:1975:8] |
Generators of the group modulo torsion |
j |
72511713/7696 |
j-invariant |
L |
2.6449057149039 |
L(r)(E,1)/r! |
Ω |
0.46030719981512 |
Real period |
R |
5.7459577342386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
962a1 |
Quadratic twists by: 37 |