Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048cr |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
332439883776 = 212 · 34 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3752,-85260] |
[a1,a2,a3,a4,a6] |
j |
1426487591593/81162081 |
j-invariant |
L |
4.8972611582451 |
L(r)(E,1)/r! |
Ω |
0.61215764479039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3003a2 |
Quadratic twists by: -4 |