Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20064r |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-927117312 = -1 · 212 · 3 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 7 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-797,-8523] |
[a1,a2,a3,a4,a6] |
j |
-13686220288/226347 |
j-invariant |
L |
2.6926773745615 |
L(r)(E,1)/r! |
Ω |
0.44877956242692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20064f1 40128r1 60192f1 |
Quadratic twists by: -4 8 -3 |