Atkin-Lehner |
2- 3- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282bj |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-263323957598856 = -1 · 23 · 311 · 73 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- -2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4289,-787111] |
[a1,a2,a3,a4,a6] |
Generators |
[129:826:1] |
Generators of the group modulo torsion |
j |
-11966561852617/361212561864 |
j-invariant |
L |
6.2283658044098 |
L(r)(E,1)/r! |
Ω |
0.23995364475407 |
Real period |
R |
0.54076120018149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17094l1 |
Quadratic twists by: -3 |