Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090m |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
23593052160090000 = 24 · 312 · 54 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267435,-52650059] |
[a1,a2,a3,a4,a6] |
Generators |
[-2450:6643:8] |
Generators of the group modulo torsion |
j |
2901695454230474161/32363583210000 |
j-invariant |
L |
3.8420896168025 |
L(r)(E,1)/r! |
Ω |
0.2100814089316 |
Real period |
R |
2.2860718830036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030r2 |
Quadratic twists by: -3 |