Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
83304h |
Isogeny class |
Conductor |
83304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-1.6411272089408E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6331251,6162620974] |
[a1,a2,a3,a4,a6] |
Generators |
[35634:6710288:1] |
Generators of the group modulo torsion |
j |
-18799003355779763426/109922036349879 |
j-invariant |
L |
3.8257425498018 |
L(r)(E,1)/r! |
Ω |
0.18252496139869 |
Real period |
R |
10.480053016452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27768k1 |
Quadratic twists by: -3 |