Atkin-Lehner |
2- 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55062bm |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
2088960 |
Modular degree for the optimal curve |
Δ |
-3.8201475583445E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1501006,-619476559] |
[a1,a2,a3,a4,a6] |
Generators |
[1953:97807:1] |
Generators of the group modulo torsion |
j |
513031155467130765863/524025728167968768 |
j-invariant |
L |
11.71216864843 |
L(r)(E,1)/r! |
Ω |
0.091889033264481 |
Real period |
R |
0.46860263984265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354n1 |
Quadratic twists by: -3 |