Atkin-Lehner |
2- 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822bm |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
352256 |
Modular degree for the optimal curve |
Δ |
11716681322052 = 22 · 36 · 78 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 0 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14537,-650555] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:110:1] |
Generators of the group modulo torsion |
j |
466007114306889/16072265188 |
j-invariant |
L |
6.6148326279289 |
L(r)(E,1)/r! |
Ω |
0.43571468036231 |
Real period |
R |
3.7953923273267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758b1 |
Quadratic twists by: -3 |