Atkin-Lehner |
2- 3- 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130cc |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
5465575440 = 24 · 310 · 5 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-977,11441] |
[a1,a2,a3,a4,a6] |
j |
141339344329/7497360 |
j-invariant |
L |
5.3475260648152 |
L(r)(E,1)/r! |
Ω |
1.3368816983677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34710l1 |
Quadratic twists by: -3 |