Atkin-Lehner |
2+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840y |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
1348746079252000000 = 28 · 56 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 11- 13- 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-297700,27947500] |
[a1,a2,a3,a4,a6] |
j |
439435216/203125 |
j-invariant |
L |
2.9087098851736 |
L(r)(E,1)/r! |
Ω |
0.24239250616425 |
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 |
62920m1 125840t1 |
Quadratic twists by: -4 -11 |