Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7686s |
Isogeny class |
Conductor |
7686 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6201414789696 = 26 · 312 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5234,84273] |
[a1,a2,a3,a4,a6] |
j |
21748011137497/8506741824 |
j-invariant |
L |
4.1185591018958 |
L(r)(E,1)/r! |
Ω |
0.68642651698263 |
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 |
61488w2 2562c2 53802cl2 |
Quadratic twists by: -4 -3 -7 |