Atkin-Lehner |
2- 5+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
81650o |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
339840 |
Modular degree for the optimal curve |
Δ |
1020625000 = 23 · 57 · 23 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 6 6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78213,8386531] |
[a1,a2,a3,a4,a6] |
Generators |
[161:-80:1] |
Generators of the group modulo torsion |
j |
3386420357276809/65320 |
j-invariant |
L |
7.1125480643141 |
L(r)(E,1)/r! |
Ω |
1.1209736674881 |
Real period |
R |
1.0574955612517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16330c1 |
Quadratic twists by: 5 |