Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360l |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
779486840000000000 = 212 · 510 · 117 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11- -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-511265,134313137] |
[a1,a2,a3,a4,a6] |
Generators |
[169:7260:1] |
Generators of the group modulo torsion |
j |
2036792051776/107421875 |
j-invariant |
L |
7.6057456096272 |
L(r)(E,1)/r! |
Ω |
0.27965810457615 |
Real period |
R |
0.67991464266292 |
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 |
19360m2 38720ch1 96800bz2 1760n2 |
Quadratic twists by: -4 8 5 -11 |