Atkin-Lehner |
2+ 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560m |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-4.0377532628232E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433115556,-4624358350356] |
[a1,a2,a3,a4,a6] |
j |
-35099028419721183553547780944/15772473682903289794921875 |
j-invariant |
L |
0.77736450318881 |
L(r)(E,1)/r! |
Ω |
0.01619509373847 |
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 |
38280b2 |
Quadratic twists by: -4 |