Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600fa |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-9.9191067110277E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41266875,-112726633750] |
[a1,a2,a3,a4,a6] |
Generators |
[393932377:9706143744:50653] |
Generators of the group modulo torsion |
j |
-6663170841705625/850403524608 |
j-invariant |
L |
5.9437636109157 |
L(r)(E,1)/r! |
Ω |
0.02957219756934 |
Real period |
R |
8.3746504310592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4950bp2 13200bx2 39600dw2 |
Quadratic twists by: -4 -3 5 |