Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342bi |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
Δ |
-7.8767687168063E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-291731,-1351594317] |
[a1,a2,a3,a4,a6] |
j |
-32015057794777/9184009519104 |
j-invariant |
L |
5.9859968790168 |
L(r)(E,1)/r! |
Ω |
0.07126186760734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9114d2 3906w2 |
Quadratic twists by: -3 -7 |