Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968bw |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
959631833664 = 26 · 32 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4034,87984] |
[a1,a2,a3,a4,a6] |
j |
964430272/127449 |
j-invariant |
L |
1.6972058020191 |
L(r)(E,1)/r! |
Ω |
0.84860290355784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79968bd1 11424r1 |
Quadratic twists by: -4 -7 |