Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20064g |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-208023552 = -1 · 212 · 35 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,-693] |
[a1,a2,a3,a4,a6] |
Generators |
[9:12:1] |
Generators of the group modulo torsion |
j |
512/50787 |
j-invariant |
L |
6.8861518125245 |
L(r)(E,1)/r! |
Ω |
0.8190767261753 |
Real period |
R |
0.84072121603059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20064o1 40128f1 60192o1 |
Quadratic twists by: -4 8 -3 |