Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62016cm |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
37456409788416 = 232 · 33 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8897,129855] |
[a1,a2,a3,a4,a6] |
Generators |
[698:1275:8] |
Generators of the group modulo torsion |
j |
297141543217/142884864 |
j-invariant |
L |
9.3887532406669 |
L(r)(E,1)/r! |
Ω |
0.57817122294583 |
Real period |
R |
5.412902422906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016i1 15504o1 |
Quadratic twists by: -4 8 |