Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cj |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
Δ |
-5325088358400000000 = -1 · 233 · 3 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,193787,106139531] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:8092:1] |
Generators of the group modulo torsion |
j |
97369242756359/644245094400 |
j-invariant |
L |
8.4757568961579 |
L(r)(E,1)/r! |
Ω |
0.17536226633587 |
Real period |
R |
0.36615790181657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870k2 79350ch2 |
Quadratic twists by: 5 -23 |