Atkin-Lehner |
2+ 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720u |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
112374035280 = 24 · 32 · 5 · 132 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2855,-57420] |
[a1,a2,a3,a4,a6] |
Generators |
[-17464:19437:512] |
Generators of the group modulo torsion |
j |
160906717566976/7023377205 |
j-invariant |
L |
9.2122294201443 |
L(r)(E,1)/r! |
Ω |
0.65487066152709 |
Real period |
R |
7.0336250801115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48360c1 |
Quadratic twists by: -4 |