Atkin-Lehner |
2+ 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048a |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
329863474676736 = 210 · 38 · 74 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137632,19679440] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:5390:1] |
Generators of the group modulo torsion |
j |
281569217289833092/322132299489 |
j-invariant |
L |
5.4220221175905 |
L(r)(E,1)/r! |
Ω |
0.53970677665063 |
Real period |
R |
2.5115592170379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024q2 |
Quadratic twists by: -4 |