Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27830q |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7258354837768441000 = -1 · 23 · 53 · 1110 · 234 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,483977,2541047] |
[a1,a2,a3,a4,a6] |
j |
7076892718655271/4097152081000 |
j-invariant |
L |
1.6915876968935 |
L(r)(E,1)/r! |
Ω |
0.14096564140785 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2530a4 |
Quadratic twists by: -11 |