Atkin-Lehner |
2- 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55062bj |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-445917459582 = -1 · 2 · 39 · 72 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,310,-32137] |
[a1,a2,a3,a4,a6] |
Generators |
[7572:78397:64] |
Generators of the group modulo torsion |
j |
4533086375/611683758 |
j-invariant |
L |
10.013900419162 |
L(r)(E,1)/r! |
Ω |
0.44432614631966 |
Real period |
R |
5.634318676787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354k1 |
Quadratic twists by: -3 |