Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5720c |
Isogeny class |
Conductor |
5720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
464750000000000 = 210 · 512 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44867,-3507826] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:260:1] |
Generators of the group modulo torsion |
j |
9754496351535204/453857421875 |
j-invariant |
L |
4.0432467644708 |
L(r)(E,1)/r! |
Ω |
0.32897855283744 |
Real period |
R |
1.0241920862819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11440e3 45760c4 51480bi4 28600q4 |
Quadratic twists by: -4 8 -3 5 |