Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480s |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
503091200 = 212 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 6 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-521,-4279] |
[a1,a2,a3,a4,a6] |
Generators |
[218:255:8] |
Generators of the group modulo torsion |
j |
778688/25 |
j-invariant |
L |
11.429543745016 |
L(r)(E,1)/r! |
Ω |
1.0010938900197 |
Real period |
R |
2.8542636823704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011647 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92480bb1 46240bg1 92480cf1 |
Quadratic twists by: -4 8 17 |