Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3344h |
Isogeny class |
Conductor |
3344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-1016576 = -1 · 28 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 1 1 0 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,47] |
[a1,a2,a3,a4,a6] |
Generators |
[11:38:1] |
Generators of the group modulo torsion |
j |
-65536/3971 |
j-invariant |
L |
4.1207654152311 |
L(r)(E,1)/r! |
Ω |
2.2928970253935 |
Real period |
R |
0.44929682510753 |
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 |
836a1 13376o1 30096v1 83600bt1 |
Quadratic twists by: -4 8 -3 5 |