Atkin-Lehner |
2- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
25696f |
Isogeny class |
Conductor |
25696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3008 |
Modular degree for the optimal curve |
Δ |
-3289088 = -1 · 212 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 11- -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-109,-485] |
[a1,a2,a3,a4,a6] |
j |
-35287552/803 |
j-invariant |
L |
1.4744389762098 |
L(r)(E,1)/r! |
Ω |
0.7372194881049 |
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 |
25696d1 51392j1 |
Quadratic twists by: -4 8 |