Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7616h |
Isogeny class |
Conductor |
7616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
3577707757568 = 232 · 72 · 17 |
Discriminant |
Eigenvalues |
2- -2 4 7+ -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3841,-12033] |
[a1,a2,a3,a4,a6] |
j |
23912763841/13647872 |
j-invariant |
L |
1.3127980069308 |
L(r)(E,1)/r! |
Ω |
0.65639900346542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7616c1 1904a1 68544ef1 53312cf1 |
Quadratic twists by: -4 8 -3 -7 |