Atkin-Lehner |
5- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54145r |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3504 |
Modular degree for the optimal curve |
Δ |
-54145 = -1 · 5 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 2 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8,4] |
[a1,a2,a3,a4,a6] |
Generators |
[4:7:1] |
Generators of the group modulo torsion |
j |
1296351/1105 |
j-invariant |
L |
4.0526304450996 |
L(r)(E,1)/r! |
Ω |
2.2973120899736 |
Real period |
R |
1.7640748346018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54145f1 |
Quadratic twists by: -7 |