Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090bs |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-7682902957082450160 = -1 · 24 · 318 · 5 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-163067,-135704869] |
[a1,a2,a3,a4,a6] |
Generators |
[1219:37806:1] |
Generators of the group modulo torsion |
j |
-657797064711729769/10538961532349040 |
j-invariant |
L |
8.9467867276597 |
L(r)(E,1)/r! |
Ω |
0.1005586372074 |
Real period |
R |
2.7803388451131 |
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 |
9030j4 |
Quadratic twists by: -3 |