Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600w |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
96228000000 = 28 · 37 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2775,-54250] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:18:1] |
Generators of the group modulo torsion |
j |
810448/33 |
j-invariant |
L |
5.9431367795428 |
L(r)(E,1)/r! |
Ω |
0.65943696498462 |
Real period |
R |
2.2531102649366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19800c1 13200a1 1584g1 |
Quadratic twists by: -4 -3 5 |