Atkin-Lehner |
2- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680bc |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-22646000 = -1 · 24 · 53 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 1 5- 3 -4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-250,-1625] |
[a1,a2,a3,a4,a6] |
j |
-108432576256/1415375 |
j-invariant |
L |
3.5979388828687 |
L(r)(E,1)/r! |
Ω |
0.59965648199609 |
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 |
17420f1 |
Quadratic twists by: -4 |