Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23322i |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-389044821305088 = -1 · 28 · 34 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5573,-934906] |
[a1,a2,a3,a4,a6] |
j |
3966822287/80600832 |
j-invariant |
L |
2.0769245669609 |
L(r)(E,1)/r! |
Ω |
0.25961557087011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69966bg1 1794j1 |
Quadratic twists by: -3 13 |