Atkin-Lehner |
2+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696x |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
7415103488 = 215 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ -2 0 -1 -3 13- 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1313,17407] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-52:1] [9:80:1] |
Generators of the group modulo torsion |
j |
7645373000/226291 |
j-invariant |
L |
7.8384086355816 |
L(r)(E,1)/r! |
Ω |
1.3157349274055 |
Real period |
R |
0.99290625494168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696bc1 42848b1 |
Quadratic twists by: -4 8 |