Atkin-Lehner |
2- 3+ 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190bc |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
261883968516000000 = 28 · 32 · 56 · 192 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-457815,-116850195] |
[a1,a2,a3,a4,a6] |
Generators |
[-427:1218:1] |
Generators of the group modulo torsion |
j |
10611916528267084696561/261883968516000000 |
j-invariant |
L |
6.3225459026305 |
L(r)(E,1)/r! |
Ω |
0.18381476448242 |
Real period |
R |
0.71658937015038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114570q2 |
Quadratic twists by: -3 |