Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168co |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-9.6358072622745E+18 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-262977,158199777] |
[a1,a2,a3,a4,a6] |
Generators |
[-552:11613:1] |
Generators of the group modulo torsion |
j |
-7672532588448337/36757687615488 |
j-invariant |
L |
7.1128028846302 |
L(r)(E,1)/r! |
Ω |
0.19963027999825 |
Real period |
R |
4.4537349773889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168be1 15792bh1 |
Quadratic twists by: -4 8 |