Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37752t |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-1900284672 = -1 · 28 · 3 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 4 -3 11- 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-2187] |
[a1,a2,a3,a4,a6] |
j |
-123904/507 |
j-invariant |
L |
2.4421720904573 |
L(r)(E,1)/r! |
Ω |
0.61054302262453 |
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 |
75504y1 113256ba1 37752e1 |
Quadratic twists by: -4 -3 -11 |