Atkin-Lehner |
2+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
53950p |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-269750 = -1 · 2 · 53 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 5 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-160,-850] |
[a1,a2,a3,a4,a6] |
Generators |
[25:95:1] |
Generators of the group modulo torsion |
j |
-3659383421/2158 |
j-invariant |
L |
3.5993659468875 |
L(r)(E,1)/r! |
Ω |
0.67061204047063 |
Real period |
R |
2.6836425009867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53950bb1 |
Quadratic twists by: 5 |