Atkin-Lehner |
2- 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77168k |
Isogeny class |
Conductor |
77168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99456 |
Modular degree for the optimal curve |
Δ |
-134017974272 = -1 · 219 · 7 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 1 4 7+ 3 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1736,32372] |
[a1,a2,a3,a4,a6] |
j |
-141339344329/32719232 |
j-invariant |
L |
3.9639045220618 |
L(r)(E,1)/r! |
Ω |
0.99097613226117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9646c1 |
Quadratic twists by: -4 |