Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760bw |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11427840000 = 216 · 32 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23841,-1408959] |
[a1,a2,a3,a4,a6] |
Generators |
[311:4600:1] |
Generators of the group modulo torsion |
j |
22868380035364/174375 |
j-invariant |
L |
2.8342395682359 |
L(r)(E,1)/r! |
Ω |
0.3842086324543 |
Real period |
R |
3.6884121396894 |
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 |
29760z4 7440h3 89280gc4 |
Quadratic twists by: -4 8 -3 |