Atkin-Lehner |
2- 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
79300a |
Isogeny class |
Conductor |
79300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
3746073144531250000 = 24 · 514 · 132 · 613 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1823800,943427625] |
[a1,a2,a3,a4,a6] |
j |
2683584887952900096/14984292578125 |
j-invariant |
L |
1.5005572370726 |
L(r)(E,1)/r! |
Ω |
0.25009286934099 |
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 |
15860d1 |
Quadratic twists by: 5 |