Atkin-Lehner |
2- 3+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008bb |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-726553131515904 = -1 · 215 · 3 · 74 · 11 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13888,1128960] |
[a1,a2,a3,a4,a6] |
j |
72318867421247/177381135624 |
j-invariant |
L |
2.8322317032914 |
L(r)(E,1)/r! |
Ω |
0.35402896956702 |
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 |
10626t4 |
Quadratic twists by: -4 |