Atkin-Lehner |
2- 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
119306u |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
4012800 |
Modular degree for the optimal curve |
Δ |
-8190908269622857504 = -1 · 25 · 118 · 175 · 292 |
Discriminant |
Eigenvalues |
2- 2 3 1 11- 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1329974,605646163] |
[a1,a2,a3,a4,a6] |
j |
-1213700983938817/38211191584 |
j-invariant |
L |
11.601098874813 |
L(r)(E,1)/r! |
Ω |
0.23202199042603 |
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 |
119306e1 |
Quadratic twists by: -11 |