Atkin-Lehner |
3- 11- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
28743h |
Isogeny class |
Conductor |
28743 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
62860941 = 38 · 11 · 13 · 67 |
Discriminant |
Eigenvalues |
0 3- -1 -2 11- 13+ -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-131,392] |
[a1,a2,a3,a4,a6] |
Generators |
[10:13:1] [-8:31:1] |
Generators of the group modulo torsion |
j |
250523582464/62860941 |
j-invariant |
L |
7.5564427961212 |
L(r)(E,1)/r! |
Ω |
1.84328265802 |
Real period |
R |
0.51243109427921 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86229d1 |
Quadratic twists by: -3 |