Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11088cb |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-40466055168 = -1 · 216 · 36 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2091,-38054] |
[a1,a2,a3,a4,a6] |
Generators |
[71:414:1] |
Generators of the group modulo torsion |
j |
-338608873/13552 |
j-invariant |
L |
3.9289303185969 |
L(r)(E,1)/r! |
Ω |
0.35217912804582 |
Real period |
R |
2.7890141732687 |
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 |
1386h1 44352el1 1232h1 77616gl1 |
Quadratic twists by: -4 8 -3 -7 |