Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888bh |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-189376704 = -1 · 26 · 38 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11- -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-741,-7792] |
[a1,a2,a3,a4,a6] |
j |
-964430272/4059 |
j-invariant |
L |
1.8296403039883 |
L(r)(E,1)/r! |
Ω |
0.45740997265127 |
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 |
129888t1 43296f1 |
Quadratic twists by: -4 -3 |