Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928bb |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1799125479424 = -1 · 212 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 2 3 7- 0 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19829,-1070083] |
[a1,a2,a3,a4,a6] |
Generators |
[260725628748940:3852493788042549:875094437125] |
Generators of the group modulo torsion |
j |
-43614208/91 |
j-invariant |
L |
8.7309409304796 |
L(r)(E,1)/r! |
Ω |
0.20113527037653 |
Real period |
R |
21.704151922572 |
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 |
1183a1 75712db1 1456h1 |
Quadratic twists by: -4 8 13 |