Atkin-Lehner |
3- 5- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33495n |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
891648 |
Modular degree for the optimal curve |
Δ |
71662863836025 = 39 · 52 · 73 · 114 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- -4 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4078690,-3170850133] |
[a1,a2,a3,a4,a6] |
j |
7503878838865075741942561/71662863836025 |
j-invariant |
L |
1.9122377389224 |
L(r)(E,1)/r! |
Ω |
0.10623542993974 |
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 |
100485j1 |
Quadratic twists by: -3 |