Atkin-Lehner |
2+ 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124270d |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-1387003803508912000 = -1 · 27 · 53 · 1710 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 2 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-783918,-273419212] |
[a1,a2,a3,a4,a6] |
j |
-2207206464510601/57462448000 |
j-invariant |
L |
4.0050177723244 |
L(r)(E,1)/r! |
Ω |
0.080100338680682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7310h1 |
Quadratic twists by: 17 |