Atkin-Lehner |
3+ 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19635a |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
18191550155625 = 33 · 54 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28178,1797303] |
[a1,a2,a3,a4,a6] |
Generators |
[854:705:8] |
Generators of the group modulo torsion |
j |
2474447753486836009/18191550155625 |
j-invariant |
L |
3.8840527781558 |
L(r)(E,1)/r! |
Ω |
0.69321682082531 |
Real period |
R |
5.6029407560129 |
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 |
58905bn3 98175bi3 |
Quadratic twists by: -3 5 |