Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11132g |
Isogeny class |
Conductor |
11132 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-41729672082032 = -1 · 24 · 118 · 233 |
Discriminant |
Eigenvalues |
2- 1 0 4 11- -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2622,307349] |
[a1,a2,a3,a4,a6] |
j |
70304000/1472207 |
j-invariant |
L |
2.887274543725 |
L(r)(E,1)/r! |
Ω |
0.48121242395417 |
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 |
44528p1 100188s1 1012b1 |
Quadratic twists by: -4 -3 -11 |