Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600cj |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-185954080000 = -1 · 28 · 54 · 133 · 232 |
Discriminant |
Eigenvalues |
2- -2 5- 5 -5 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1108,-25512] |
[a1,a2,a3,a4,a6] |
j |
-941054800/1162213 |
j-invariant |
L |
0.79042364019436 |
L(r)(E,1)/r! |
Ω |
0.39521205549274 |
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 |
29900j1 119600bk1 |
Quadratic twists by: -4 5 |