Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100u |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
86184082031250000 = 24 · 3 · 516 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-268133,-51630012] |
[a1,a2,a3,a4,a6] |
Generators |
[-7044:21500:27] |
Generators of the group modulo torsion |
j |
8527782693830656/344736328125 |
j-invariant |
L |
7.8569152450792 |
L(r)(E,1)/r! |
Ω |
0.210326152864 |
Real period |
R |
6.2259774010741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220f1 |
Quadratic twists by: 5 |