Atkin-Lehner |
2- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28768f |
Isogeny class |
Conductor |
28768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6432 |
Modular degree for the optimal curve |
Δ |
51724864 = 26 · 292 · 312 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-301,-1980] |
[a1,a2,a3,a4,a6] |
j |
47124116928/808201 |
j-invariant |
L |
0.57369328814583 |
L(r)(E,1)/r! |
Ω |
1.1473865762896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28768a1 57536i2 |
Quadratic twists by: -4 8 |