Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040cv |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-70153815600 = -1 · 24 · 32 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,12714] |
[a1,a2,a3,a4,a6] |
j |
-16384/2475 |
j-invariant |
L |
3.5868816900707 |
L(r)(E,1)/r! |
Ω |
0.89672042251749 |
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 |
7260a1 116160gm1 87120fm1 2640s1 |
Quadratic twists by: -4 8 -3 -11 |