Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29520be |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-82637107200 = -1 · 212 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 3 4 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6912,221616] |
[a1,a2,a3,a4,a6] |
j |
-452984832/1025 |
j-invariant |
L |
4.3329466628747 |
L(r)(E,1)/r! |
Ω |
1.0832366657196 |
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 |
1845b1 118080dg1 29520v1 |
Quadratic twists by: -4 8 -3 |