Atkin-Lehner |
2+ 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048f |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.2445067005719E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70668092,-18074188800] |
[a1,a2,a3,a4,a6] |
j |
152459275009572062112030928/87676042991090726373201 |
j-invariant |
L |
2.8311284597726 |
L(r)(E,1)/r! |
Ω |
0.056622569199803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024p2 |
Quadratic twists by: -4 |