Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680bq |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
64239265382400 = 219 · 310 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55041,4936959] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:2592:1] |
Generators of the group modulo torsion |
j |
70347817391041/245053350 |
j-invariant |
L |
6.9734736693834 |
L(r)(E,1)/r! |
Ω |
0.62344346195873 |
Real period |
R |
0.55927073565167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960506 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680d2 19920j2 |
Quadratic twists by: -4 8 |