Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32736m |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
66977856 = 26 · 32 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-342,-2520] |
[a1,a2,a3,a4,a6] |
Generators |
[70152:816255:512] |
Generators of the group modulo torsion |
j |
69325227712/1046529 |
j-invariant |
L |
8.2295965895322 |
L(r)(E,1)/r! |
Ω |
1.1109242222694 |
Real period |
R |
7.4078829361739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32736g1 65472bm2 98208h1 |
Quadratic twists by: -4 8 -3 |