Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150k |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2923200 |
Modular degree for the optimal curve |
Δ |
-129663870239491200 = -1 · 27 · 34 · 52 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2075605,1150239085] |
[a1,a2,a3,a4,a6] |
j |
-79074084385/10368 |
j-invariant |
L |
1.9034262944231 |
L(r)(E,1)/r! |
Ω |
0.31723748614498 |
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 |
126150dl1 126150cx1 |
Quadratic twists by: 5 29 |