Atkin-Lehner |
2- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
97600cl |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-3718856704000 = -1 · 217 · 53 · 613 |
Discriminant |
Eigenvalues |
2- 2 5- -2 2 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2527,78017] |
[a1,a2,a3,a4,a6] |
Generators |
[13:336:1] |
Generators of the group modulo torsion |
j |
108879878/226981 |
j-invariant |
L |
10.497978372233 |
L(r)(E,1)/r! |
Ω |
0.54494097150607 |
Real period |
R |
2.4080540235505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999809215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600bb1 24400n1 97600cm1 |
Quadratic twists by: -4 8 5 |