Atkin-Lehner |
2- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
48032c |
Isogeny class |
Conductor |
48032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
116813824 = 212 · 192 · 79 |
Discriminant |
Eigenvalues |
2- 1 1 3 4 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,-2993] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:19:8] |
Generators of the group modulo torsion |
j |
1544804416/28519 |
j-invariant |
L |
9.1447299361376 |
L(r)(E,1)/r! |
Ω |
1.0787658484234 |
Real period |
R |
2.1192573785818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48032a1 96064l1 |
Quadratic twists by: -4 8 |