Atkin-Lehner |
2- 3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23460l |
Isogeny class |
Conductor |
23460 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2367360 |
Modular degree for the optimal curve |
Δ |
-659812500000000 = -1 · 28 · 33 · 512 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -5 -7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114163820,-469543737900] |
[a1,a2,a3,a4,a6] |
j |
-642790170651404763366482896/2577392578125 |
j-invariant |
L |
0.83136155319227 |
L(r)(E,1)/r! |
Ω |
0.023093376477563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93840bm1 70380be1 117300g1 |
Quadratic twists by: -4 -3 5 |