Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
111630b |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1044000 |
Modular degree for the optimal curve |
Δ |
-20355807873543750 = -1 · 2 · 315 · 55 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 0 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-112378,15996082] |
[a1,a2,a3,a4,a6] |
j |
-691487193777589/89680668750 |
j-invariant |
L |
0.74490767012256 |
L(r)(E,1)/r! |
Ω |
0.37245375040055 |
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 |
111630p1 |
Quadratic twists by: 61 |