Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600et |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1026432000000000 = -1 · 216 · 36 · 59 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19875,1881250] |
[a1,a2,a3,a4,a6] |
Generators |
[81:896:1] |
Generators of the group modulo torsion |
j |
-148877/176 |
j-invariant |
L |
5.4596469539752 |
L(r)(E,1)/r! |
Ω |
0.44623820462491 |
Real period |
R |
3.0587065929072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4950q1 4400y1 39600es1 |
Quadratic twists by: -4 -3 5 |