Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
14160be |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-9787392000000 = -1 · 217 · 34 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4160,110900] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-2400:1] |
Generators of the group modulo torsion |
j |
1943297778239/2389500000 |
j-invariant |
L |
6.5297916064644 |
L(r)(E,1)/r! |
Ω |
0.48647575472602 |
Real period |
R |
0.13981922409606 |
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 |
1770f1 56640bs1 42480bk1 70800bn1 |
Quadratic twists by: -4 8 -3 5 |