Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ka |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
-4.1643149706186E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1735008,3226396788] |
[a1,a2,a3,a4,a6] |
Generators |
[-1356:55566:1] |
Generators of the group modulo torsion |
j |
-5591213575/40310784 |
j-invariant |
L |
8.0242956835948 |
L(r)(E,1)/r! |
Ω |
0.11915443940545 |
Real period |
R |
1.870657135703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350cf1 58800fy1 58800hi1 |
Quadratic twists by: -4 5 -7 |