Atkin-Lehner |
5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
28325c |
Isogeny class |
Conductor |
28325 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
3427325 = 52 · 113 · 103 |
Discriminant |
Eigenvalues |
0 0 5+ 0 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-290,-1899] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:7:8] |
Generators of the group modulo torsion |
j |
107889131520/137093 |
j-invariant |
L |
4.036689574394 |
L(r)(E,1)/r! |
Ω |
1.156999557711 |
Real period |
R |
1.1629764095388 |
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 |
28325g1 |
Quadratic twists by: 5 |