Atkin-Lehner |
2+ 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944d |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
15464984832 = 28 · 33 · 113 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 11+ -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1167,-14130] |
[a1,a2,a3,a4,a6] |
j |
25429191408/2237411 |
j-invariant |
L |
1.6428356544056 |
L(r)(E,1)/r! |
Ω |
0.82141782885984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472m1 64944e1 |
Quadratic twists by: -4 -3 |