Atkin-Lehner |
2+ 3+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
47526a |
Isogeny class |
Conductor |
47526 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
1710936 = 23 · 33 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31,13] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:11:1] |
Generators of the group modulo torsion |
j |
437257/216 |
j-invariant |
L |
4.6410042549103 |
L(r)(E,1)/r! |
Ω |
2.3556885365666 |
Real period |
R |
1.9701264334805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47526f1 |
Quadratic twists by: 89 |