Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168dp |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
28830540345901056 = 226 · 34 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7074817,-7245394945] |
[a1,a2,a3,a4,a6] |
Generators |
[664321:541456800:1] |
Generators of the group modulo torsion |
j |
149392736901862384897/109979783424 |
j-invariant |
L |
9.4167371175824 |
L(r)(E,1)/r! |
Ω |
0.092570107073796 |
Real period |
R |
12.715683031111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999268 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63168b2 15792x2 |
Quadratic twists by: -4 8 |