Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090bq |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
173336709747600 = 24 · 314 · 52 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34367,2377559] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1576:1] |
Generators of the group modulo torsion |
j |
6157567840166569/237773264400 |
j-invariant |
L |
8.1663015606195 |
L(r)(E,1)/r! |
Ω |
0.56680002426715 |
Real period |
R |
1.8009662162546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030h2 |
Quadratic twists by: -3 |