Atkin-Lehner |
3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355x |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
2160433113345 = 34 · 5 · 13 · 177 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7520,240207] |
[a1,a2,a3,a4,a6] |
j |
1948441249/89505 |
j-invariant |
L |
3.2577169407597 |
L(r)(E,1)/r! |
Ω |
0.81442923512564 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3315b1 |
Quadratic twists by: 17 |