Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22542b |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
2441539365195996 = 22 · 39 · 135 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 2 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33963,376209] |
[a1,a2,a3,a4,a6] |
j |
51875959429369/29232640476 |
j-invariant |
L |
0.79068768200325 |
L(r)(E,1)/r! |
Ω |
0.39534384100164 |
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 |
67626y1 22542j1 |
Quadratic twists by: -3 17 |