Atkin-Lehner |
2+ 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
53950k |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-104517174444800 = -1 · 28 · 52 · 134 · 833 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 1 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10239,-287052] |
[a1,a2,a3,a4,a6] |
Generators |
[921:8158:27] |
Generators of the group modulo torsion |
j |
4749165493124495/4180686977792 |
j-invariant |
L |
5.4899241224522 |
L(r)(E,1)/r! |
Ω |
0.32785096883438 |
Real period |
R |
0.6977159141801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53950z1 |
Quadratic twists by: 5 |