Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240bl |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
39062291576000000 = 29 · 56 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156816,21981380] |
[a1,a2,a3,a4,a6] |
j |
7080100070408/648484375 |
j-invariant |
L |
2.8346377666288 |
L(r)(E,1)/r! |
Ω |
0.3543297231419 |
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 |
86240c2 12320n2 |
Quadratic twists by: -4 -7 |