Atkin-Lehner |
2- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
55616bd |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-16467874463744 = -1 · 214 · 115 · 792 |
Discriminant |
Eigenvalues |
2- -1 3 2 11- 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-869,-195203] |
[a1,a2,a3,a4,a6] |
j |
-4434684928/1005119291 |
j-invariant |
L |
3.1041335766653 |
L(r)(E,1)/r! |
Ω |
0.31041335782963 |
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 |
55616a1 13904a1 |
Quadratic twists by: -4 8 |