Atkin-Lehner |
2+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
20086b |
Isogeny class |
Conductor |
20086 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
902880 |
Modular degree for the optimal curve |
Δ |
-1.2604893415706E+21 |
Discriminant |
Eigenvalues |
2+ 0 3 0 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1657178,-1894848972] |
[a1,a2,a3,a4,a6] |
Generators |
[21605964:1054749690:6859] |
Generators of the group modulo torsion |
j |
-19404590646177/48597320704 |
j-invariant |
L |
4.5357451005644 |
L(r)(E,1)/r! |
Ω |
0.061966318253309 |
Real period |
R |
9.149617946525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20086c1 |
Quadratic twists by: -11 |