Atkin-Lehner |
2- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
87220g |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10200960 |
Modular degree for the optimal curve |
Δ |
-3.9955115130875E+21 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -5 1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6591088,-7188084988] |
[a1,a2,a3,a4,a6] |
j |
-3065298106908672/386767578125 |
j-invariant |
L |
5.0524396957399 |
L(r)(E,1)/r! |
Ω |
0.046781849052085 |
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 |
87220q1 |
Quadratic twists by: -7 |