Atkin-Lehner |
2- 3- 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290bn |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
121561601763600 = 24 · 312 · 52 · 233 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105602,-13171471] |
[a1,a2,a3,a4,a6] |
Generators |
[2169:98707:1] |
Generators of the group modulo torsion |
j |
178652360349338329/166751168400 |
j-invariant |
L |
12.655997105883 |
L(r)(E,1)/r! |
Ω |
0.26485378044361 |
Real period |
R |
5.9731057551018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999874031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430k1 |
Quadratic twists by: -3 |