Atkin-Lehner |
2- 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52624d |
Isogeny class |
Conductor |
52624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
244224 |
Modular degree for the optimal curve |
Δ |
-399213363101696 = -1 · 215 · 116 · 13 · 232 |
Discriminant |
Eigenvalues |
2- -1 -3 -5 11+ 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14352,-1162304] |
[a1,a2,a3,a4,a6] |
Generators |
[154:506:1] [226:-2662:1] |
Generators of the group modulo torsion |
j |
-79823598306193/97464199976 |
j-invariant |
L |
5.2297931333527 |
L(r)(E,1)/r! |
Ω |
0.20841062115763 |
Real period |
R |
3.1367122176319 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6578e1 |
Quadratic twists by: -4 |