Atkin-Lehner |
2+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
114224b |
Isogeny class |
Conductor |
114224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-26757657344 = -1 · 28 · 116 · 59 |
Discriminant |
Eigenvalues |
2+ 1 -1 1 11- -2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33436,-2364452] |
[a1,a2,a3,a4,a6] |
j |
-9115564624/59 |
j-invariant |
L |
0.70611343172928 |
L(r)(E,1)/r! |
Ω |
0.17652845849419 |
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 |
57112f1 944b1 |
Quadratic twists by: -4 -11 |