Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11088bb |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
3814981632 = 218 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-411,-1206] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:42:1] |
Generators of the group modulo torsion |
j |
69426531/34496 |
j-invariant |
L |
3.862997323631 |
L(r)(E,1)/r! |
Ω |
1.1160828993113 |
Real period |
R |
0.86530250710197 |
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 |
1386f1 44352df1 11088bd1 77616di1 |
Quadratic twists by: -4 8 -3 -7 |