Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bv |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1643924160 = -1 · 26 · 311 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -5 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,222,1478] |
[a1,a2,a3,a4,a6] |
Generators |
[13:81:1] |
Generators of the group modulo torsion |
j |
25934336/35235 |
j-invariant |
L |
3.2104916506085 |
L(r)(E,1)/r! |
Ω |
1.010902643745 |
Real period |
R |
0.79396657874806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520bu1 41760bj1 27840z1 |
Quadratic twists by: -4 8 -3 |