Atkin-Lehner |
3- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45825j |
Isogeny class |
Conductor |
45825 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
66620299078125 = 35 · 56 · 132 · 473 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 1 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-80408,8740469] |
[a1,a2,a3,a4,a6] |
j |
3679653013295104/4263699141 |
j-invariant |
L |
6.1674876862542 |
L(r)(E,1)/r! |
Ω |
0.61674876864212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1833d1 |
Quadratic twists by: 5 |