Atkin-Lehner |
2+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28832b |
Isogeny class |
Conductor |
28832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
3690496 = 212 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ -3 -1 2 0 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88,304] |
[a1,a2,a3,a4,a6] |
Generators |
[4:4:1] |
Generators of the group modulo torsion |
j |
18399744/901 |
j-invariant |
L |
3.5162747042046 |
L(r)(E,1)/r! |
Ω |
2.4601900451293 |
Real period |
R |
0.71463477205067 |
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 |
28832a1 57664bf1 |
Quadratic twists by: -4 8 |