Atkin-Lehner |
2+ 3- 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bk |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3427200 |
Modular degree for the optimal curve |
Δ |
2.9346085418783E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4954239,4237601805] |
[a1,a2,a3,a4,a6] |
j |
18447057201893947212529/40255261205463040 |
j-invariant |
L |
1.8894594805683 |
L(r)(E,1)/r! |
Ω |
0.20993994101731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9790h1 |
Quadratic twists by: -3 |