Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bk |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-395597977286082560 = -1 · 225 · 5 · 119 |
Discriminant |
Eigenvalues |
2+ -1 5- -5 11- 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-685505,-220313663] |
[a1,a2,a3,a4,a6] |
Generators |
[1457:43264:1] |
Generators of the group modulo torsion |
j |
-76711450249/851840 |
j-invariant |
L |
2.8358340475901 |
L(r)(E,1)/r! |
Ω |
0.082904767483407 |
Real period |
R |
4.2757403067288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720dj1 1210j1 3520j1 |
Quadratic twists by: -4 8 -11 |