Atkin-Lehner |
2- 3- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
125460i |
Isogeny class |
Conductor |
125460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
115213687822080 = 28 · 317 · 5 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16383,620278] |
[a1,a2,a3,a4,a6] |
j |
2605772594896/617357295 |
j-invariant |
L |
1.1116891485799 |
L(r)(E,1)/r! |
Ω |
0.55584510309959 |
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 |
41820j1 |
Quadratic twists by: -3 |