Atkin-Lehner |
2- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
65072s |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-39996895232 = -1 · 212 · 76 · 83 |
Discriminant |
Eigenvalues |
2- -1 2 7- -3 6 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,768,-5312] |
[a1,a2,a3,a4,a6] |
Generators |
[16:104:1] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
5.6331062061653 |
L(r)(E,1)/r! |
Ω |
0.63771467975502 |
Real period |
R |
2.2083176007955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4067c1 1328e1 |
Quadratic twists by: -4 -7 |