Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63536bb |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
295488 |
Modular degree for the optimal curve |
Δ |
47825713523456 = 28 · 11 · 198 |
Discriminant |
Eigenvalues |
2- 0 3 3 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198911,-34144102] |
[a1,a2,a3,a4,a6] |
Generators |
[-95042400628:2101719257:367061696] |
Generators of the group modulo torsion |
j |
200184912/11 |
j-invariant |
L |
8.8702176219178 |
L(r)(E,1)/r! |
Ω |
0.2260665394807 |
Real period |
R |
13.079066075404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15884a1 63536bk1 |
Quadratic twists by: -4 -19 |