Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870r |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
103542382544772500 = 22 · 54 · 74 · 297 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-541762,-152564851] |
[a1,a2,a3,a4,a6] |
Generators |
[6846:21803:8] |
Generators of the group modulo torsion |
j |
29563822919961/174072500 |
j-invariant |
L |
8.8009301531087 |
L(r)(E,1)/r! |
Ω |
0.17603599754371 |
Real period |
R |
3.1246912122546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2030a3 |
Quadratic twists by: 29 |