Atkin-Lehner |
2- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33550r |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
1.5485954284668E+19 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 11+ -3 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1873005,-967829753] |
[a1,a2,a3,a4,a6] |
j |
46507209170632894809/991101074218750 |
j-invariant |
L |
6.4609710728266 |
L(r)(E,1)/r! |
Ω |
0.12921942145672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710c1 |
Quadratic twists by: 5 |