Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150cc |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-43597440000000 = -1 · 213 · 34 · 57 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -5 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-518813,-144051469] |
[a1,a2,a3,a4,a6] |
j |
-1175277148105921/3317760 |
j-invariant |
L |
4.625087746374 |
L(r)(E,1)/r! |
Ω |
0.088944022930043 |
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 |
25230m1 126150bm1 |
Quadratic twists by: 5 29 |