Atkin-Lehner |
2- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810bd |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
9386579212609600 = 26 · 52 · 178 · 292 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113487,-13929001] |
[a1,a2,a3,a4,a6] |
Generators |
[-1706:6729:8] [-193:966:1] |
Generators of the group modulo torsion |
j |
6696763214049/388878400 |
j-invariant |
L |
15.626888040958 |
L(r)(E,1)/r! |
Ω |
0.26105703104962 |
Real period |
R |
9.9766757084704 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998521 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4930f2 |
Quadratic twists by: 17 |