Atkin-Lehner |
3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
8295d |
Isogeny class |
Conductor |
8295 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
405029296875 = 3 · 512 · 7 · 79 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9174,-337559] |
[a1,a2,a3,a4,a6] |
j |
85375226113731289/405029296875 |
j-invariant |
L |
0.97593193790956 |
L(r)(E,1)/r! |
Ω |
0.48796596895478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24885i4 41475d4 58065h4 |
Quadratic twists by: -3 5 -7 |