Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
80920c |
Isogeny class |
Conductor |
80920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
18126080 = 28 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -3 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68,68] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:10:1] [-2:14:1] |
Generators of the group modulo torsion |
j |
470016/245 |
j-invariant |
L |
9.8324375874247 |
L(r)(E,1)/r! |
Ω |
1.9182154887398 |
Real period |
R |
0.64072816930854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80920e1 |
Quadratic twists by: 17 |