Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25296j |
Isogeny class |
Conductor |
25296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-11610864 = -1 · 24 · 34 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 4 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,54,-81] |
[a1,a2,a3,a4,a6] |
Generators |
[5:17:1] |
Generators of the group modulo torsion |
j |
1068359936/725679 |
j-invariant |
L |
4.5613586423061 |
L(r)(E,1)/r! |
Ω |
1.2837212852057 |
Real period |
R |
0.88830782329343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6324b1 101184bc1 75888ba1 |
Quadratic twists by: -4 8 -3 |