Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
29040bw |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-43124400 = -1 · 24 · 34 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,59,-284] |
[a1,a2,a3,a4,a6] |
j |
1048576/2025 |
j-invariant |
L |
2.1199088631506 |
L(r)(E,1)/r! |
Ω |
1.0599544315757 |
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 |
7260l1 116160ip1 87120ff1 29040bx1 |
Quadratic twists by: -4 8 -3 -11 |