Atkin-Lehner |
2+ 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
47450m |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8320 |
Modular degree for the optimal curve |
Δ |
3084250 = 2 · 53 · 132 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 5 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-81,258] |
[a1,a2,a3,a4,a6] |
Generators |
[12:26:1] |
Generators of the group modulo torsion |
j |
461889917/24674 |
j-invariant |
L |
4.2529475238791 |
L(r)(E,1)/r! |
Ω |
2.4931029689432 |
Real period |
R |
0.42647130672716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47450bb1 |
Quadratic twists by: 5 |