Atkin-Lehner |
2- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696bp |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1.2350095157349E+22 |
Discriminant |
Eigenvalues |
2- -2 0 1 3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19578593,32906202271] |
[a1,a2,a3,a4,a6] |
j |
3166126388361017133625/47111874226946048 |
j-invariant |
L |
1.0156581590257 |
L(r)(E,1)/r! |
Ω |
0.12695728286641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696p3 21424o3 |
Quadratic twists by: -4 8 |