Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18810z |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
380918574085500 = 22 · 312 · 53 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-192456068,-1027602593269] |
[a1,a2,a3,a4,a6] |
Generators |
[-699616419484959:349817507564923:87351081453] |
Generators of the group modulo torsion |
j |
1081411559614045490773061881/522522049500 |
j-invariant |
L |
6.1953874921576 |
L(r)(E,1)/r! |
Ω |
0.040533737691843 |
Real period |
R |
19.105650764487 |
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 |
6270l4 94050bp5 |
Quadratic twists by: -3 5 |