Atkin-Lehner |
2- 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008bh |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-87928412175335424 = -1 · 221 · 3 · 73 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56616,-13309968] |
[a1,a2,a3,a4,a6] |
Generators |
[194:2222:1] |
Generators of the group modulo torsion |
j |
4899746835008423/21466897503744 |
j-invariant |
L |
6.7735262006716 |
L(r)(E,1)/r! |
Ω |
0.17183879527209 |
Real period |
R |
3.2848258505117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626f2 |
Quadratic twists by: -4 |