Atkin-Lehner |
2- 3- 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346cf |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
660480 |
Modular degree for the optimal curve |
Δ |
242554670071164 = 22 · 321 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- 7 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44609,-3537003] |
[a1,a2,a3,a4,a6] |
j |
13466493319607497/332722455516 |
j-invariant |
L |
1.3160088796565 |
L(r)(E,1)/r! |
Ω |
0.3290022167246 |
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 |
34782a1 |
Quadratic twists by: -3 |