Atkin-Lehner |
2- 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
5246c |
Isogeny class |
Conductor |
5246 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
46272 |
Modular degree for the optimal curve |
Δ |
-7750801061576704 = -1 · 236 · 432 · 61 |
Discriminant |
Eigenvalues |
2- -2 3 -1 3 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27219,4572577] |
[a1,a2,a3,a4,a6] |
j |
-2230186621035147697/7750801061576704 |
j-invariant |
L |
2.9175193306519 |
L(r)(E,1)/r! |
Ω |
0.36468991633148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
41968b1 47214g1 |
Quadratic twists by: -4 -3 |