Atkin-Lehner |
2+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290p |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-532900 = -1 · 22 · 52 · 732 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-148,678] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-15:1] [7:-3:1] |
Generators of the group modulo torsion |
j |
-66625129/100 |
j-invariant |
L |
5.1975396889231 |
L(r)(E,1)/r! |
Ω |
2.9235698104805 |
Real period |
R |
0.44445147763296 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53290h1 |
Quadratic twists by: 73 |