Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680z |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
344217600000000 = 217 · 34 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21665,835263] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:1320:1] |
Generators of the group modulo torsion |
j |
8580446972498/2626171875 |
j-invariant |
L |
9.8720912805715 |
L(r)(E,1)/r! |
Ω |
0.50010400179598 |
Real period |
R |
2.4675095690149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001112 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79680bn4 9960a3 |
Quadratic twists by: -4 8 |