Atkin-Lehner |
2- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85400bd |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
175826430500000000 = 28 · 59 · 78 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-140708,2437412] |
[a1,a2,a3,a4,a6] |
Generators |
[7521642:763479584:729] |
Generators of the group modulo torsion |
j |
616187898128/351652861 |
j-invariant |
L |
9.982536609938 |
L(r)(E,1)/r! |
Ω |
0.2752506775307 |
Real period |
R |
9.0667684293157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85400n2 |
Quadratic twists by: 5 |