Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760bo |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-59043840 = -1 · 212 · 3 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39,345] |
[a1,a2,a3,a4,a6] |
j |
1560896/14415 |
j-invariant |
L |
2.8988097984193 |
L(r)(E,1)/r! |
Ω |
1.4494048992109 |
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 |
29760co2 14880i1 89280fg2 |
Quadratic twists by: -4 8 -3 |