Atkin-Lehner |
2- 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950cd |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-4195908299980800 = -1 · 216 · 37 · 52 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -5 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,29757,-2407743] |
[a1,a2,a3,a4,a6] |
Generators |
[78:585:1] |
Generators of the group modulo torsion |
j |
116560184509179815/167836331999232 |
j-invariant |
L |
13.634077495256 |
L(r)(E,1)/r! |
Ω |
0.23252052719991 |
Real period |
R |
0.13088396565057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79950l1 |
Quadratic twists by: 5 |