Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680z |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
101990400 = 214 · 3 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8305,-294097] |
[a1,a2,a3,a4,a6] |
Generators |
[3806187:5749120:35937] |
Generators of the group modulo torsion |
j |
3867007151824/6225 |
j-invariant |
L |
9.8720912805715 |
L(r)(E,1)/r! |
Ω |
0.50010400179598 |
Real period |
R |
9.8700382760597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680bn1 9960a1 |
Quadratic twists by: -4 8 |