Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040j |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-6802794240 = -1 · 28 · 3 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,444,-1824] |
[a1,a2,a3,a4,a6] |
j |
21296/15 |
j-invariant |
L |
3.0028362549035 |
L(r)(E,1)/r! |
Ω |
0.75070906372625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520bo1 116160jm1 87120cn1 240c1 |
Quadratic twists by: -4 8 -3 -11 |