Atkin-Lehner |
3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51183d |
Isogeny class |
Conductor |
51183 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-8387897726592830259 = -1 · 36 · 119 · 474 |
Discriminant |
Eigenvalues |
2 3- 3 2 11- 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-56991,-139441217] |
[a1,a2,a3,a4,a6] |
Generators |
[7705631436434074:41674710364301239:13621096884968] |
Generators of the group modulo torsion |
j |
-15851081728/6494855411 |
j-invariant |
L |
15.829225620923 |
L(r)(E,1)/r! |
Ω |
0.10434447959607 |
Real period |
R |
18.962701335758 |
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 |
5687c1 4653a1 |
Quadratic twists by: -3 -11 |