Atkin-Lehner |
2- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
2068a |
Isogeny class |
Conductor |
2068 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-13741181696 = -1 · 28 · 11 · 474 |
Discriminant |
Eigenvalues |
2- 1 1 -2 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,595,1007] |
[a1,a2,a3,a4,a6] |
Generators |
[2:47:1] |
Generators of the group modulo torsion |
j |
90845732864/53676491 |
j-invariant |
L |
3.4492818474928 |
L(r)(E,1)/r! |
Ω |
0.76407442548171 |
Real period |
R |
0.37619392086905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8272n1 33088p1 18612j1 51700b1 |
Quadratic twists by: -4 8 -3 5 |