Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040j |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-96963750000 = -1 · 24 · 33 · 57 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1040,7267] |
[a1,a2,a3,a4,a6] |
Generators |
[39:325:1] |
Generators of the group modulo torsion |
j |
7767586344704/6060234375 |
j-invariant |
L |
5.2319429948752 |
L(r)(E,1)/r! |
Ω |
0.68512167290248 |
Real period |
R |
0.54546546796295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26520bc1 |
Quadratic twists by: -4 |