Atkin-Lehner |
2- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
46144q |
Isogeny class |
Conductor |
46144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1512046592 = -1 · 221 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3 2 7+ -4 -5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116,1808] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1088:27] |
Generators of the group modulo torsion |
j |
658503/5768 |
j-invariant |
L |
11.287322169716 |
L(r)(E,1)/r! |
Ω |
1.1045214786376 |
Real period |
R |
2.5547991569283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46144g1 11536g1 |
Quadratic twists by: -4 8 |