Atkin-Lehner |
2+ 3+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590c |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-781178904000 = -1 · 26 · 39 · 53 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2091,-21835] |
[a1,a2,a3,a4,a6] |
j |
51354402813/39688000 |
j-invariant |
L |
2.9981310273911 |
L(r)(E,1)/r! |
Ω |
0.49968850456969 |
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 |
40590ba1 |
Quadratic twists by: -3 |