Atkin-Lehner |
2- 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71440p |
Isogeny class |
Conductor |
71440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-3438264320000 = -1 · 217 · 54 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 3 5- -1 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3773,1346] |
[a1,a2,a3,a4,a6] |
j |
1450187574759/839420000 |
j-invariant |
L |
7.5851145122389 |
L(r)(E,1)/r! |
Ω |
0.47406965509992 |
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 |
8930f1 |
Quadratic twists by: -4 |