Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506g |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
24288 |
Modular degree for the optimal curve |
Δ |
39870751866 = 2 · 3 · 118 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 11- 1 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2301,-42357] |
[a1,a2,a3,a4,a6] |
j |
6289657/186 |
j-invariant |
L |
2.0715838344625 |
L(r)(E,1)/r! |
Ω |
0.69052794482082 |
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 |
67518bu1 22506z1 |
Quadratic twists by: -3 -11 |