Atkin-Lehner |
2- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28832j |
Isogeny class |
Conductor |
28832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-3690496 = -1 · 212 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 0 1 -1 0 -5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92,352] |
[a1,a2,a3,a4,a6] |
Generators |
[6:4:1] |
Generators of the group modulo torsion |
j |
-21024576/901 |
j-invariant |
L |
4.9395013249021 |
L(r)(E,1)/r! |
Ω |
2.469006916876 |
Real period |
R |
0.50015061634092 |
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 |
28832d1 57664o1 |
Quadratic twists by: -4 8 |