Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11088bc |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3614914904832 = 28 · 39 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5967,152010] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:378:1] |
Generators of the group modulo torsion |
j |
4662947952/717409 |
j-invariant |
L |
3.3434783802441 |
L(r)(E,1)/r! |
Ω |
0.75571459922681 |
Real period |
R |
2.2121303357543 |
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 |
2772b2 44352dh2 11088be2 77616dn2 |
Quadratic twists by: -4 8 -3 -7 |