Atkin-Lehner |
2- 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99280bc |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
1061371504640000 = 214 · 54 · 175 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 0 0 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34550120,-78178339532] |
[a1,a2,a3,a4,a6] |
j |
1113557012183790861995881/259123902500 |
j-invariant |
L |
1.2454236164456 |
L(r)(E,1)/r! |
Ω |
0.06227118977887 |
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 |
12410g1 |
Quadratic twists by: -4 |