Atkin-Lehner |
2- 3- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
125136r |
Isogeny class |
Conductor |
125136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-20177321066496 = -1 · 217 · 311 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 0 11+ 5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11379,-514766] |
[a1,a2,a3,a4,a6] |
j |
-54569318257/6757344 |
j-invariant |
L |
0.91812879617132 |
L(r)(E,1)/r! |
Ω |
0.2295321585212 |
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 |
15642d1 41712e1 |
Quadratic twists by: -4 -3 |