Atkin-Lehner |
2- 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536t |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
825401328795648 = 224 · 33 · 113 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24608,-536832] |
[a1,a2,a3,a4,a6] |
Generators |
[1669:67858:1] |
Generators of the group modulo torsion |
j |
402355893390625/201513996288 |
j-invariant |
L |
4.5465301892558 |
L(r)(E,1)/r! |
Ω |
0.40158832266533 |
Real period |
R |
5.6606852498607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442i1 78144cy1 58608bo1 |
Quadratic twists by: -4 8 -3 |