Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
836a |
Isogeny class |
Conductor |
836 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-1016576 = -1 · 28 · 11 · 192 |
Discriminant |
Eigenvalues |
2- -1 1 0 11+ -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,-47] |
[a1,a2,a3,a4,a6] |
Generators |
[8:19:1] |
Generators of the group modulo torsion |
j |
-65536/3971 |
j-invariant |
L |
2.0763611931067 |
L(r)(E,1)/r! |
Ω |
1.2193960007581 |
Real period |
R |
0.85138920900836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3344h1 13376g1 7524g1 20900b1 |
Quadratic twists by: -4 8 -3 5 |