Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760bh |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
37026201600 = 216 · 36 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2465,45375] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-144:1] |
Generators of the group modulo torsion |
j |
25285452196/564975 |
j-invariant |
L |
6.4178663606948 |
L(r)(E,1)/r! |
Ω |
1.1545271174965 |
Real period |
R |
0.46323918132324 |
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 |
29760cc2 3720a2 89280be2 |
Quadratic twists by: -4 8 -3 |