Atkin-Lehner |
2- 3- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69030bf |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
154390565160000 = 26 · 38 · 54 · 132 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24053,1311437] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:1596:1] |
Generators of the group modulo torsion |
j |
2110994055212041/211784040000 |
j-invariant |
L |
8.168751669838 |
L(r)(E,1)/r! |
Ω |
0.56048431825104 |
Real period |
R |
1.2145376482081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001083 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23010h2 |
Quadratic twists by: -3 |