Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160hc |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
51609600 |
Modular degree for the optimal curve |
Δ |
2.0826432715964E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-311820065,2002498118337] |
[a1,a2,a3,a4,a6] |
j |
7220044159551112609/448454983680000 |
j-invariant |
L |
3.9835264743986 |
L(r)(E,1)/r! |
Ω |
0.055326749816566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160eu1 29040dd1 10560bv1 |
Quadratic twists by: -4 8 -11 |