Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bk |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-35922940231680 = -1 · 215 · 36 · 5 · 673 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3243,-296998] |
[a1,a2,a3,a4,a6] |
Generators |
[229:3312:1] |
Generators of the group modulo torsion |
j |
-1263214441/12030520 |
j-invariant |
L |
5.7739378433548 |
L(r)(E,1)/r! |
Ω |
0.2760299814553 |
Real period |
R |
2.6147240477765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6030u2 5360o2 |
Quadratic twists by: -4 -3 |