Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760ct |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
617103360000 = 217 · 35 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1285665,-561528225] |
[a1,a2,a3,a4,a6] |
j |
1793071414868660498/4708125 |
j-invariant |
L |
2.8356169713825 |
L(r)(E,1)/r! |
Ω |
0.1417808485691 |
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 |
29760q4 7440a3 89280dz4 |
Quadratic twists by: -4 8 -3 |