Atkin-Lehner |
2- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53720i |
Isogeny class |
Conductor |
53720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6208 |
Modular degree for the optimal curve |
Δ |
-1719040 = -1 · 28 · 5 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20,-60] |
[a1,a2,a3,a4,a6] |
Generators |
[12:42:1] |
Generators of the group modulo torsion |
j |
3286064/6715 |
j-invariant |
L |
9.9787903862819 |
L(r)(E,1)/r! |
Ω |
1.3826715282831 |
Real period |
R |
1.8042590344408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107440i1 |
Quadratic twists by: -4 |