Atkin-Lehner |
2+ 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328b |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-10123045632 = -1 · 28 · 39 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -3 2 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,4860] |
[a1,a2,a3,a4,a6] |
j |
-27648/2009 |
j-invariant |
L |
4.2488000909136 |
L(r)(E,1)/r! |
Ω |
1.0622000227439 |
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 |
20664m1 41328a1 |
Quadratic twists by: -4 -3 |