Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45540n |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-517100670218919600 = -1 · 24 · 38 · 52 · 113 · 236 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146568,40785433] |
[a1,a2,a3,a4,a6] |
Generators |
[-412:5589:1] |
Generators of the group modulo torsion |
j |
-29853392180740096/44333047858275 |
j-invariant |
L |
5.8305621572522 |
L(r)(E,1)/r! |
Ω |
0.26372518566347 |
Real period |
R |
1.8423730693282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
15180n3 |
Quadratic twists by: -3 |