Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44044k |
Isogeny class |
Conductor |
44044 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-99189044373875456 = -1 · 28 · 76 · 117 · 132 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11- 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328797,74241961] |
[a1,a2,a3,a4,a6] |
Generators |
[339:1274:1] [-480:11011:1] |
Generators of the group modulo torsion |
j |
-8667872124928/218709491 |
j-invariant |
L |
6.6375415049863 |
L(r)(E,1)/r! |
Ω |
0.33603660543983 |
Real period |
R |
0.137169693667 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4004a1 |
Quadratic twists by: -11 |