Atkin-Lehner |
2- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696cd |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
10025219915776 = 218 · 135 · 103 |
Discriminant |
Eigenvalues |
2- -1 -1 -4 -4 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8801,281857] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:416:1] [-73:728:1] |
Generators of the group modulo torsion |
j |
287626699801/38243179 |
j-invariant |
L |
6.8577834017176 |
L(r)(E,1)/r! |
Ω |
0.69774776387462 |
Real period |
R |
0.49142281473098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696t1 21424i1 |
Quadratic twists by: -4 8 |