Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090bc |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1473516340853760 = 210 · 33 · 5 · 78 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88373,-9919539] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:480:1] |
Generators of the group modulo torsion |
j |
2826924016851247347/54574679290880 |
j-invariant |
L |
7.5692852101813 |
L(r)(E,1)/r! |
Ω |
0.27722306041215 |
Real period |
R |
0.34129940339956 |
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 |
27090d2 |
Quadratic twists by: -3 |