Atkin-Lehner |
5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86975u |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-8108359888671875 = -1 · 59 · 77 · 712 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- -5 -3 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,16742,4245793] |
[a1,a2,a3,a4,a6] |
Generators |
[-854:8871:8] |
Generators of the group modulo torsion |
j |
282300416/4410875 |
j-invariant |
L |
7.860644810936 |
L(r)(E,1)/r! |
Ω |
0.3082117545716 |
Real period |
R |
3.1880049542457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17395p1 12425d1 |
Quadratic twists by: 5 -7 |