Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760f |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3631432335360 = -1 · 218 · 3 · 5 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3839,3841] |
[a1,a2,a3,a4,a6] |
Generators |
[3:124:1] |
Generators of the group modulo torsion |
j |
23862997439/13852815 |
j-invariant |
L |
3.2860897111212 |
L(r)(E,1)/r! |
Ω |
0.47446892752744 |
Real period |
R |
3.4629135023083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760cr3 465b4 89280cn3 |
Quadratic twists by: -4 8 -3 |