Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550eo |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
5591040 |
Modular degree for the optimal curve |
Δ |
-9.325752912E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-801680,-540359053] |
[a1,a2,a3,a4,a6] |
j |
-8003847033025/13099548672 |
j-invariant |
L |
4.2283065345637 |
L(r)(E,1)/r! |
Ω |
0.075505476764793 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850bi1 116550cs1 |
Quadratic twists by: -3 5 |