Atkin-Lehner |
2- 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
45050i |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1978368 |
Modular degree for the optimal curve |
Δ |
5.7883983085568E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7051288,-7198223808] |
[a1,a2,a3,a4,a6] |
j |
2481470116651671429817/3704574917476352 |
j-invariant |
L |
2.5943550468463 |
L(r)(E,1)/r! |
Ω |
0.092655537388291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1802b1 |
Quadratic twists by: 5 |