Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150h |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4454400 |
Modular degree for the optimal curve |
Δ |
2251108858324500000 = 25 · 32 · 56 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 4 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5246175,4622257125] |
[a1,a2,a3,a4,a6] |
j |
2042904913/288 |
j-invariant |
L |
1.0017973767762 |
L(r)(E,1)/r! |
Ω |
0.25044956091132 |
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 |
5046o1 126150ct1 |
Quadratic twists by: 5 29 |