Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19040k |
Isogeny class |
Conductor |
19040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
304640000 = 212 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-668,6592] |
[a1,a2,a3,a4,a6] |
Generators |
[18:20:1] |
Generators of the group modulo torsion |
j |
8048096064/74375 |
j-invariant |
L |
4.6843906401068 |
L(r)(E,1)/r! |
Ω |
1.7324490023891 |
Real period |
R |
1.3519562866343 |
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 |
19040h2 38080bo1 95200d3 |
Quadratic twists by: -4 8 5 |