Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fv |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.7135881152432E+21 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52532067,-146512439710] |
[a1,a2,a3,a4,a6] |
j |
45637459887836881/13417633152 |
j-invariant |
L |
0.89726573691684 |
L(r)(E,1)/r! |
Ω |
0.056079107706794 |
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 |
9702z2 25872cb2 11088bk2 |
Quadratic twists by: -4 -3 -7 |