Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360u |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
566899520 = 26 · 5 · 116 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-766,-8340] |
[a1,a2,a3,a4,a6] |
Generators |
[84:726:1] |
Generators of the group modulo torsion |
j |
438976/5 |
j-invariant |
L |
3.3842727736505 |
L(r)(E,1)/r! |
Ω |
0.90801723010733 |
Real period |
R |
1.8635509665662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19360e1 38720bl2 96800s1 160a1 |
Quadratic twists by: -4 8 5 -11 |