Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792bb |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-14920028928 = -1 · 28 · 311 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -5 -6 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,595,-1641] |
[a1,a2,a3,a4,a6] |
Generators |
[7:54:1] |
Generators of the group modulo torsion |
j |
90845732864/58281363 |
j-invariant |
L |
3.5510803766191 |
L(r)(E,1)/r! |
Ω |
0.71408892466332 |
Real period |
R |
0.22604011743759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3948a1 63168bz1 47376bj1 110544cw1 |
Quadratic twists by: -4 8 -3 -7 |