Atkin-Lehner |
3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
66429d |
Isogeny class |
Conductor |
66429 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
150480 |
Modular degree for the optimal curve |
Δ |
9532325079189 = 36 · 118 · 61 |
Discriminant |
Eigenvalues |
0 3- -3 2 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-31944,-2192490] |
[a1,a2,a3,a4,a6] |
j |
23068672/61 |
j-invariant |
L |
0.3571669543383 |
L(r)(E,1)/r! |
Ω |
0.35716693731149 |
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 |
7381b1 66429c1 |
Quadratic twists by: -3 -11 |