Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
11328o |
Isogeny class |
Conductor |
11328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16439060201472 = 219 · 312 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41249,-3204927] |
[a1,a2,a3,a4,a6] |
Generators |
[20696368:2580482853:1331] |
Generators of the group modulo torsion |
j |
29609739866953/62710038 |
j-invariant |
L |
3.738820788164 |
L(r)(E,1)/r! |
Ω |
0.33504302605069 |
Real period |
R |
11.159225823129 |
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 |
11328d3 2832b3 33984bl4 |
Quadratic twists by: -4 8 -3 |