Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11132h |
Isogeny class |
Conductor |
11132 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-651934448 = -1 · 24 · 116 · 23 |
Discriminant |
Eigenvalues |
2- -3 -2 4 11- 5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121,-1331] |
[a1,a2,a3,a4,a6] |
j |
-6912/23 |
j-invariant |
L |
1.324589417838 |
L(r)(E,1)/r! |
Ω |
0.66229470891901 |
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 |
44528q1 100188v1 92b1 |
Quadratic twists by: -4 -3 -11 |