Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506bg |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-1315734811578 = -1 · 2 · 32 · 119 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 11+ 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6960,229626] |
[a1,a2,a3,a4,a6] |
j |
-15813251/558 |
j-invariant |
L |
3.4128926317643 |
L(r)(E,1)/r! |
Ω |
0.85322315794108 |
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 |
67518j1 22506j1 |
Quadratic twists by: -3 -11 |