Atkin-Lehner |
2- 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18330bc |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
17855827700490 = 2 · 314 · 5 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-117221,-15455865] |
[a1,a2,a3,a4,a6] |
Generators |
[4262:66395:8] |
Generators of the group modulo torsion |
j |
178131288613407384529/17855827700490 |
j-invariant |
L |
8.265857315127 |
L(r)(E,1)/r! |
Ω |
0.25801846788676 |
Real period |
R |
2.2882795347465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990q2 91650b2 |
Quadratic twists by: -3 5 |