Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28830ba |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-107247600 = -1 · 24 · 32 · 52 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,104,329] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:15:1] |
Generators of the group modulo torsion |
j |
4173281/3600 |
j-invariant |
L |
5.7220450549909 |
L(r)(E,1)/r! |
Ω |
1.2218875362218 |
Real period |
R |
0.58536944740882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86490bn1 28830bp1 |
Quadratic twists by: -3 -31 |