Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
21912h |
Isogeny class |
Conductor |
21912 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
3408323601408 = 210 · 3 · 115 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161272,24874112] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:5808:1] |
Generators of the group modulo torsion |
j |
453005384303598052/3328441017 |
j-invariant |
L |
6.9669445782012 |
L(r)(E,1)/r! |
Ω |
0.71013725785595 |
Real period |
R |
1.9621402767222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43824b1 65736d1 |
Quadratic twists by: -4 -3 |