Atkin-Lehner |
5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11045a |
Isogeny class |
Conductor |
11045 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
63327890057875 = 53 · 477 |
Discriminant |
Eigenvalues |
-1 -1 5+ 1 3 3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11091,-240266] |
[a1,a2,a3,a4,a6] |
j |
13997521/5875 |
j-invariant |
L |
0.96587167430753 |
L(r)(E,1)/r! |
Ω |
0.48293583715377 |
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 |
99405n1 55225a1 235a1 |
Quadratic twists by: -3 5 -47 |