Atkin-Lehner |
2+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696f |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
21938176 = 214 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ -1 -1 0 6 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81,-143] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] |
Generators of the group modulo torsion |
j |
3631696/1339 |
j-invariant |
L |
4.9435214255987 |
L(r)(E,1)/r! |
Ω |
1.6390705001299 |
Real period |
R |
0.75401293378616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696bw1 5356a1 |
Quadratic twists by: -4 8 |