Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810r |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-21153642975011250 = -1 · 2 · 318 · 54 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31432,-6668643] |
[a1,a2,a3,a4,a6] |
Generators |
[14014:582039:8] |
Generators of the group modulo torsion |
j |
4711131042738119/29017342901250 |
j-invariant |
L |
7.6774161213284 |
L(r)(E,1)/r! |
Ω |
0.19144651967323 |
Real period |
R |
5.0127681443574 |
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 |
6270d2 94050o2 |
Quadratic twists by: -3 5 |