Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850bn |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
1193493957031250000 = 24 · 512 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 3 -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-311380,-41273753] |
[a1,a2,a3,a4,a6] |
Generators |
[-437:3565:1] |
Generators of the group modulo torsion |
j |
37067235849/13250000 |
j-invariant |
L |
9.7560929597622 |
L(r)(E,1)/r! |
Ω |
0.20809198517009 |
Real period |
R |
5.8604448493837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000141714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970a1 129850cn1 |
Quadratic twists by: 5 -7 |