Atkin-Lehner |
3- 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
116571q |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-1.0156138331252E+19 |
Discriminant |
Eigenvalues |
-2 3- -2 7- -2 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1271174,572128736] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:31384:1] [-1277:10705:1] |
Generators of the group modulo torsion |
j |
-1930860143445127168/86325751440747 |
j-invariant |
L |
6.101268779761 |
L(r)(E,1)/r! |
Ω |
0.22677847527136 |
Real period |
R |
0.14012547480267 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000012219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16653e1 |
Quadratic twists by: -7 |