Atkin-Lehner |
2- 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57722t |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-17185224728 = -1 · 23 · 76 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 4 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,636,-1240] |
[a1,a2,a3,a4,a6] |
j |
241804367/146072 |
j-invariant |
L |
4.2967030796867 |
L(r)(E,1)/r! |
Ω |
0.71611717999641 |
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 |
1178c1 |
Quadratic twists by: -7 |