Atkin-Lehner |
2+ 3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bc |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20630016 |
Modular degree for the optimal curve |
Δ |
-1.8955577856934E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 5 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-274908039,1754471498813] |
[a1,a2,a3,a4,a6] |
Generators |
[4902262341751:4385998052178799:3716672149] |
Generators of the group modulo torsion |
j |
-3151798934450475394062697329/260021644128040960 |
j-invariant |
L |
6.2677944736387 |
L(r)(E,1)/r! |
Ω |
0.13700989301492 |
Real period |
R |
22.873510575459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9790o1 |
Quadratic twists by: -3 |