Atkin-Lehner |
2- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520x |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-1112320 = -1 · 28 · 5 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- -3 11+ -3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47,-134] |
[a1,a2,a3,a4,a6] |
j |
-44851536/4345 |
j-invariant |
L |
0.90669803249177 |
L(r)(E,1)/r! |
Ω |
0.90669803770786 |
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 |
17380c1 |
Quadratic twists by: -4 |