Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360v |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7993758375000000000 = 29 · 311 · 512 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8468283,-9484108018] |
[a1,a2,a3,a4,a6] |
Generators |
[-3701087:2053026:2197] |
Generators of the group modulo torsion |
j |
179933617934808776648/21416748046875 |
j-invariant |
L |
4.5445146445627 |
L(r)(E,1)/r! |
Ω |
0.088502148863202 |
Real period |
R |
6.4186501442851 |
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 |
27360j4 54720ca4 9120d3 |
Quadratic twists by: -4 8 -3 |