Atkin-Lehner |
2- 3- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008bx |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
18257596326934272 = 28 · 36 · 74 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67684,-1939288] |
[a1,a2,a3,a4,a6] |
Generators |
[2218:6615:8] |
Generators of the group modulo torsion |
j |
133951695069278032/71318735652087 |
j-invariant |
L |
7.1398833538443 |
L(r)(E,1)/r! |
Ω |
0.31451663624468 |
Real period |
R |
3.7835218310686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21252e2 |
Quadratic twists by: -4 |