Atkin-Lehner |
3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
25143f |
Isogeny class |
Conductor |
25143 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141984 |
Modular degree for the optimal curve |
Δ |
526174408017189 = 32 · 1710 · 29 |
Discriminant |
Eigenvalues |
-2 3+ 1 3 2 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27840,1415990] |
[a1,a2,a3,a4,a6] |
j |
1183744/261 |
j-invariant |
L |
0.98298738185802 |
L(r)(E,1)/r! |
Ω |
0.49149369092896 |
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 |
75429l1 25143s1 |
Quadratic twists by: -3 17 |