Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640ca |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
2038816000000000 = 214 · 59 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ -5 0 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91541,10406195] |
[a1,a2,a3,a4,a6] |
Generators |
[-1190:36445:8] |
Generators of the group modulo torsion |
j |
5177921645510656/124439453125 |
j-invariant |
L |
3.4180790199121 |
L(r)(E,1)/r! |
Ω |
0.46450609215775 |
Real period |
R |
7.3585235765401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999687627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120640i1 30160bc1 |
Quadratic twists by: -4 8 |