Atkin-Lehner |
2+ 3- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
16074c |
Isogeny class |
Conductor |
16074 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-49970042086791168 = -1 · 211 · 36 · 193 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 -2 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64932,12515408] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:4347:1] |
Generators of the group modulo torsion |
j |
-41531372728322625/68546011092992 |
j-invariant |
L |
4.0811952173274 |
L(r)(E,1)/r! |
Ω |
0.31933912687114 |
Real period |
R |
3.1950322352561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128592h1 1786e1 |
Quadratic twists by: -4 -3 |