Atkin-Lehner |
2- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45136g |
Isogeny class |
Conductor |
45136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
23636244680409088 = 228 · 75 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 0 4 7+ -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155923,22514130] |
[a1,a2,a3,a4,a6] |
Generators |
[98930335:261519360:357911] |
Generators of the group modulo torsion |
j |
102351523274517609/5770567548928 |
j-invariant |
L |
7.4080112072494 |
L(r)(E,1)/r! |
Ω |
0.3737398342785 |
Real period |
R |
9.9106524483007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5642g1 |
Quadratic twists by: -4 |