Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478cb |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
93874589180494848 = 210 · 311 · 11 · 196 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11+ -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-146273,15731889] |
[a1,a2,a3,a4,a6] |
j |
10091699281/2737152 |
j-invariant |
L |
6.3133294804691 |
L(r)(E,1)/r! |
Ω |
0.31566647608737 |
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 |
23826l1 198e1 |
Quadratic twists by: -3 -19 |