Atkin-Lehner |
2- 3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992bj |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-28108394496 = -1 · 212 · 34 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -5 13+ -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320,-8256] |
[a1,a2,a3,a4,a6] |
Generators |
[26:18:1] |
Generators of the group modulo torsion |
j |
-887503681/6862401 |
j-invariant |
L |
3.8047883957486 |
L(r)(E,1)/r! |
Ω |
0.49804870583768 |
Real period |
R |
1.9098475466123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5187h1 |
Quadratic twists by: -4 |