Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300u |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
6349824 |
Modular degree for the optimal curve |
Δ |
-1.1142081174388E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184198920,-962229779100] |
[a1,a2,a3,a4,a6] |
j |
-799965408846201776676864/128959272851717 |
j-invariant |
L |
3.1964828896465 |
L(r)(E,1)/r! |
Ω |
0.020490274897678 |
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 |
69300x1 69300o1 |
Quadratic twists by: -3 5 |