Atkin-Lehner |
7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11011d |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23232 |
Modular degree for the optimal curve |
Δ |
136546607197 = 72 · 118 · 13 |
Discriminant |
Eigenvalues |
-1 3 -2 7+ 11- 13+ 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3411,75430] |
[a1,a2,a3,a4,a6] |
j |
20469537/637 |
j-invariant |
L |
2.0628941675863 |
L(r)(E,1)/r! |
Ω |
1.0314470837931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099s1 77077ba1 11011q1 |
Quadratic twists by: -3 -7 -11 |