Atkin-Lehner |
2+ 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
129800k |
Isogeny class |
Conductor |
129800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-83072000 = -1 · 210 · 53 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 11+ -2 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,572] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-20:1] |
Generators of the group modulo torsion |
j |
-595508/649 |
j-invariant |
L |
4.3669051679014 |
L(r)(E,1)/r! |
Ω |
1.7447009380464 |
Real period |
R |
0.62573834251264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000172405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129800n1 |
Quadratic twists by: 5 |