Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760cl |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
4017600 = 26 · 34 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1036,-13186] |
[a1,a2,a3,a4,a6] |
j |
1923278337856/62775 |
j-invariant |
L |
1.6828892414781 |
L(r)(E,1)/r! |
Ω |
0.84144462073931 |
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 |
29760bn1 14880k2 89280fp1 |
Quadratic twists by: -4 8 -3 |