Atkin-Lehner |
2- 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
112880f |
Isogeny class |
Conductor |
112880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
1116016143859712000 = 218 · 53 · 177 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -5 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1514136,715827440] |
[a1,a2,a3,a4,a6] |
Generators |
[-55336866:2151590462:59319] |
Generators of the group modulo torsion |
j |
93725703087867323929/272464878872000 |
j-invariant |
L |
7.8002157480928 |
L(r)(E,1)/r! |
Ω |
0.27614378927874 |
Real period |
R |
14.123467625258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14110a1 |
Quadratic twists by: -4 |