Atkin-Lehner |
2- 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
11330k |
Isogeny class |
Conductor |
11330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-56650 = -1 · 2 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2- -2 5- -3 11- 5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20,-38] |
[a1,a2,a3,a4,a6] |
j |
-887503681/56650 |
j-invariant |
L |
2.2486876394246 |
L(r)(E,1)/r! |
Ω |
1.1243438197123 |
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 |
90640q1 101970l1 56650g1 124630k1 |
Quadratic twists by: -4 -3 5 -11 |