Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840bi |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-93459024882432000 = -1 · 211 · 33 · 53 · 114 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,105240,6642900] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1860:1] |
Generators of the group modulo torsion |
j |
62940784449679918/45634289493375 |
j-invariant |
L |
8.2452574833233 |
L(r)(E,1)/r! |
Ω |
0.21525021183406 |
Real period |
R |
0.26601010996389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920i3 |
Quadratic twists by: -4 |