Atkin-Lehner |
3- 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117249u |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-18883068699 = -1 · 3 · 117 · 17 · 19 |
Discriminant |
Eigenvalues |
0 3- 2 1 11- -3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,323,6331] |
[a1,a2,a3,a4,a6] |
j |
2097152/10659 |
j-invariant |
L |
3.5183609950016 |
L(r)(E,1)/r! |
Ω |
0.87959026432416 |
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 |
10659f1 |
Quadratic twists by: -11 |