Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bq |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-7.4030738665887E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,800052,309032048] |
[a1,a2,a3,a4,a6] |
Generators |
[-163764930:-16083095552:1157625] |
Generators of the group modulo torsion |
j |
296354077829711/387386634240 |
j-invariant |
L |
6.3481474631077 |
L(r)(E,1)/r! |
Ω |
0.13054159379201 |
Real period |
R |
12.157327176786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280eg1 2790l1 29760s1 |
Quadratic twists by: -4 8 -3 |