Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21904j |
Isogeny class |
Conductor |
21904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-358875136 = -1 · 218 · 372 |
Discriminant |
Eigenvalues |
2- 2 -3 4 6 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-752,-7744] |
[a1,a2,a3,a4,a6] |
j |
-8398297/64 |
j-invariant |
L |
3.6446795168204 |
L(r)(E,1)/r! |
Ω |
0.45558493960255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2738d1 87616bn1 21904i1 |
Quadratic twists by: -4 8 37 |