Atkin-Lehner |
3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355d |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57408 |
Modular degree for the optimal curve |
Δ |
-4706825955 = -1 · 3 · 5 · 13 · 176 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 5 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-96,-3289] |
[a1,a2,a3,a4,a6] |
j |
-4096/195 |
j-invariant |
L |
5.4119883118736 |
L(r)(E,1)/r! |
Ω |
0.60133203435161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
195b1 |
Quadratic twists by: 17 |