Atkin-Lehner |
5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
25075d |
Isogeny class |
Conductor |
25075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2568 |
Modular degree for the optimal curve |
Δ |
-25075 = -1 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2 0 5+ 0 -5 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5,-9] |
[a1,a2,a3,a4,a6] |
j |
-552960/1003 |
j-invariant |
L |
1.5053876080488 |
L(r)(E,1)/r! |
Ω |
1.5053876080488 |
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 |
25075k1 |
Quadratic twists by: 5 |