Atkin-Lehner |
3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305k |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6557927114025 = 32 · 52 · 72 · 296 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6325,-151990] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:153:1] |
Generators of the group modulo torsion |
j |
47045881/11025 |
j-invariant |
L |
3.6886805209967 |
L(r)(E,1)/r! |
Ω |
0.544407985983 |
Real period |
R |
3.3877906019084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010743 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
105a2 |
Quadratic twists by: 29 |