Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552ds |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
27776448 = 26 · 32 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92,198] |
[a1,a2,a3,a4,a6] |
Generators |
[3:370:27] |
Generators of the group modulo torsion |
j |
1360251712/434007 |
j-invariant |
L |
8.7211559351077 |
L(r)(E,1)/r! |
Ω |
1.9452881808077 |
Real period |
R |
4.4832205521925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552cc1 55776f2 |
Quadratic twists by: -4 8 |