Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25392y |
Isogeny class |
Conductor |
25392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-2875547713536 = -1 · 226 · 34 · 232 |
Discriminant |
Eigenvalues |
2- 3- 1 0 0 -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3120,-106668] |
[a1,a2,a3,a4,a6] |
j |
-1550640289/1327104 |
j-invariant |
L |
2.4663101625841 |
L(r)(E,1)/r! |
Ω |
0.30828877032302 |
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 |
3174e1 101568cc1 76176bx1 25392ba1 |
Quadratic twists by: -4 8 -3 -23 |