Atkin-Lehner |
3- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117249bb |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112000 |
Modular degree for the optimal curve |
Δ |
97848628713 = 32 · 116 · 17 · 192 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 11- -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1152,-153] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:102:1] |
Generators of the group modulo torsion |
j |
95443993/55233 |
j-invariant |
L |
5.5502231615816 |
L(r)(E,1)/r! |
Ω |
0.89968513868238 |
Real period |
R |
3.0845364121918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
969a1 |
Quadratic twists by: -11 |