Atkin-Lehner |
7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11011i |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-540078539 = -1 · 74 · 113 · 132 |
Discriminant |
Eigenvalues |
-2 -1 -1 7- 11+ 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,114,978] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] [4:38:1] |
Generators of the group modulo torsion |
j |
122023936/405769 |
j-invariant |
L |
2.8136443279223 |
L(r)(E,1)/r! |
Ω |
1.1635454996777 |
Real period |
R |
0.1511352762258 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099bm1 77077g1 11011a1 |
Quadratic twists by: -3 -7 -11 |