Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048cb |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8284423179850481664 = 226 · 36 · 72 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1280984,-541009644] |
[a1,a2,a3,a4,a6] |
Generators |
[-620:3906:1] |
Generators of the group modulo torsion |
j |
56753835752958457177/2022564252893184 |
j-invariant |
L |
5.5814088436276 |
L(r)(E,1)/r! |
Ω |
0.14222106249766 |
Real period |
R |
3.2703834120475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006h2 |
Quadratic twists by: -4 |