Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072cp |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-1.556569930499E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15760236,30663640784] |
[a1,a2,a3,a4,a6] |
j |
-9061589884199351908/3258075751785207 |
j-invariant |
L |
1.1588149769842 |
L(r)(E,1)/r! |
Ω |
0.096567914748734 |
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 |
27072p1 6768e1 9024bd1 |
Quadratic twists by: -4 8 -3 |