Atkin-Lehner |
2- 3- 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110bz |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
-2957404473498009600 = -1 · 226 · 39 · 52 · 13 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,330502,-38780103] |
[a1,a2,a3,a4,a6] |
Generators |
[143:3303:1] [473:-15177:1] |
Generators of the group modulo torsion |
j |
5476709325203772839/4056796259942400 |
j-invariant |
L |
15.250758116734 |
L(r)(E,1)/r! |
Ω |
0.1421413680613 |
Real period |
R |
1.0316624004863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370d1 |
Quadratic twists by: -3 |