Atkin-Lehner |
2+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
129430a |
Isogeny class |
Conductor |
129430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-55493112500 = -1 · 22 · 55 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 2 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5413,-155983] |
[a1,a2,a3,a4,a6] |
j |
-9489126544801/30012500 |
j-invariant |
L |
1.1129530893293 |
L(r)(E,1)/r! |
Ω |
0.27823858396455 |
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 |
129430s1 |
Quadratic twists by: -43 |