Atkin-Lehner |
2+ 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590u |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-566580792334218750 = -1 · 2 · 314 · 57 · 11 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-172809,-45520637] |
[a1,a2,a3,a4,a6] |
j |
-782882650278722449/777202732968750 |
j-invariant |
L |
1.5758595578171 |
L(r)(E,1)/r! |
Ω |
0.11256139698486 |
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 |
13530n1 |
Quadratic twists by: -3 |