Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40572g |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-95443283964672 = -1 · 28 · 39 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 3 4 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10584,629748] |
[a1,a2,a3,a4,a6] |
j |
-221184/161 |
j-invariant |
L |
4.4219763165787 |
L(r)(E,1)/r! |
Ω |
0.55274703957586 |
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 |
40572c1 5796c1 |
Quadratic twists by: -3 -7 |