Atkin-Lehner |
2+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
48032a |
Isogeny class |
Conductor |
48032 |
Conductor |
∏ cp |
8 |
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 |
[-11:76:1] [8:19:1] |
Generators of the group modulo torsion |
j |
1544804416/28519 |
j-invariant |
L |
7.5339246705717 |
L(r)(E,1)/r! |
Ω |
1.8690166533639 |
Real period |
R |
0.50386955200557 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48032c1 96064b1 |
Quadratic twists by: -4 8 |