Atkin-Lehner |
2- 7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
44968g |
Isogeny class |
Conductor |
44968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
173376 |
Modular degree for the optimal curve |
Δ |
849054169701584 = 24 · 7 · 117 · 733 |
Discriminant |
Eigenvalues |
2- 0 1 7- 11+ 2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255902,49806573] |
[a1,a2,a3,a4,a6] |
Generators |
[2194:4021:8] |
Generators of the group modulo torsion |
j |
115830990426913744896/53065885606349 |
j-invariant |
L |
6.0798741235949 |
L(r)(E,1)/r! |
Ω |
0.49310583780721 |
Real period |
R |
6.1648774537119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89936f1 |
Quadratic twists by: -4 |