Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506bc |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
58080 |
Modular degree for the optimal curve |
Δ |
637932029856 = 25 · 3 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 11- 5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14946,696015] |
[a1,a2,a3,a4,a6] |
j |
1722499009/2976 |
j-invariant |
L |
4.5592124920432 |
L(r)(E,1)/r! |
Ω |
0.91184249840863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518u1 22506h1 |
Quadratic twists by: -3 -11 |