Atkin-Lehner |
3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045v |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-772696336981944375 = -1 · 39 · 54 · 7 · 11 · 138 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,157950,-34750625] |
[a1,a2,a3,a4,a6] |
j |
597796720113247199/1059940105599375 |
j-invariant |
L |
1.1907081389351 |
L(r)(E,1)/r! |
Ω |
0.14883851735747 |
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 |
15015e1 |
Quadratic twists by: -3 |