Atkin-Lehner |
2+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
125800a |
Isogeny class |
Conductor |
125800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
1545138500000000 = 28 · 59 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28908,57812] |
[a1,a2,a3,a4,a6] |
j |
667932971344/386284625 |
j-invariant |
L |
1.614183720372 |
L(r)(E,1)/r! |
Ω |
0.40354565747552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25160f1 |
Quadratic twists by: 5 |