Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680bk |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8811970560 = 218 · 34 · 5 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141665,-20475903] |
[a1,a2,a3,a4,a6] |
Generators |
[512:6399:1] [13341:147680:27] |
Generators of the group modulo torsion |
j |
1199429023756249/33615 |
j-invariant |
L |
9.969947552783 |
L(r)(E,1)/r! |
Ω |
0.2460841592132 |
Real period |
R |
40.514381684235 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680v4 19920k3 |
Quadratic twists by: -4 8 |