Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168bf |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
80588283052032 = 218 · 32 · 7 · 474 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24449,1398495] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:1692:1] |
Generators of the group modulo torsion |
j |
6165734998753/307419903 |
j-invariant |
L |
5.8337235381552 |
L(r)(E,1)/r! |
Ω |
0.60148262508844 |
Real period |
R |
1.2123632701432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168cp4 987b3 |
Quadratic twists by: -4 8 |