Atkin-Lehner |
2+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25024f |
Isogeny class |
Conductor |
25024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41984 |
Modular degree for the optimal curve |
Δ |
589365248 = 216 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 2 4 -4 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12001,-502047] |
[a1,a2,a3,a4,a6] |
j |
2916972108004/8993 |
j-invariant |
L |
3.6490704446996 |
L(r)(E,1)/r! |
Ω |
0.45613380558746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25024k1 3128a1 |
Quadratic twists by: -4 8 |