Atkin-Lehner |
2- 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71440r |
Isogeny class |
Conductor |
71440 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
4265856 |
Modular degree for the optimal curve |
Δ |
8.6536343257088E+20 |
Discriminant |
Eigenvalues |
2- -2 5- 2 1 7 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11223320,-14406420332] |
[a1,a2,a3,a4,a6] |
Generators |
[-1844:4750:1] |
Generators of the group modulo torsion |
j |
38170499223892336150681/211270369280000000 |
j-invariant |
L |
5.5578030015751 |
L(r)(E,1)/r! |
Ω |
0.082511398845432 |
Real period |
R |
1.6037619620407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930b1 |
Quadratic twists by: -4 |