Atkin-Lehner |
2+ 3- 11+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418h |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
941531703552 = 28 · 37 · 11 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2457,4909] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:101:1] [-15:203:1] |
Generators of the group modulo torsion |
j |
2250666132625/1291538688 |
j-invariant |
L |
8.2432710849765 |
L(r)(E,1)/r! |
Ω |
0.7543029057406 |
Real period |
R |
1.3660412518374 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25806i1 |
Quadratic twists by: -3 |