Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600ct |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
16174080 |
Modular degree for the optimal curve |
Δ |
-1.0788984440382E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,103344592,-293613808812] |
[a1,a2,a3,a4,a6] |
Generators |
[18418:2803200:1] |
Generators of the group modulo torsion |
j |
1907247257179943046551/1685778818809651200 |
j-invariant |
L |
9.1358660433846 |
L(r)(E,1)/r! |
Ω |
0.032686102231878 |
Real period |
R |
3.8819871356145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7950bb1 12720q1 |
Quadratic twists by: -4 5 |