Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496do |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
66493151707136 = 220 · 78 · 11 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-735457,-243008865] |
[a1,a2,a3,a4,a6] |
j |
1426487591593/2156 |
j-invariant |
L |
0.65210903093899 |
L(r)(E,1)/r! |
Ω |
0.1630272577326 |
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 |
34496u2 8624u2 4928bi2 |
Quadratic twists by: -4 8 -7 |