Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720k |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.7366146875E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1755357,1794058558] |
[a1,a2,a3,a4,a6] |
j |
400647648358480318/1163177490234375 |
j-invariant |
L |
1.6790258520127 |
L(r)(E,1)/r! |
Ω |
0.10493911575089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440h5 9240bj6 |
Quadratic twists by: -4 -3 |