Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11560d |
Isogeny class |
Conductor |
11560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-4201868011520 = -1 · 211 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 -4 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,-98656] |
[a1,a2,a3,a4,a6] |
j |
-2/85 |
j-invariant |
L |
0.71129775651792 |
L(r)(E,1)/r! |
Ω |
0.35564887825896 |
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 |
23120b1 92480bw1 104040bc1 57800b1 |
Quadratic twists by: -4 8 -3 5 |