Atkin-Lehner |
2- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52288l |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-254328832 = -1 · 214 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 0 4 2 -3 -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1808,-29600] |
[a1,a2,a3,a4,a6] |
j |
-39893216256/15523 |
j-invariant |
L |
2.9285308443655 |
L(r)(E,1)/r! |
Ω |
0.36606635557298 |
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 |
52288f1 13072a1 |
Quadratic twists by: -4 8 |