Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gd |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
2753074897242292224 = 218 · 37 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 4 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-352947,-11865742] |
[a1,a2,a3,a4,a6] |
Generators |
[-206:7218:1] |
Generators of the group modulo torsion |
j |
5764801/3264 |
j-invariant |
L |
8.6569939551455 |
L(r)(E,1)/r! |
Ω |
0.21127317640635 |
Real period |
R |
5.1219197204219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999608301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994bb1 39984bo1 119952do1 |
Quadratic twists by: -4 -3 -7 |