Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
35550bu |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
943570944000000 = 220 · 36 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94505,-11060503] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:348:1] |
Generators of the group modulo torsion |
j |
8194759433281/82837504 |
j-invariant |
L |
7.4402351682752 |
L(r)(E,1)/r! |
Ω |
0.27245910481388 |
Real period |
R |
1.3653856738164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3950a1 1422b1 |
Quadratic twists by: -3 5 |