Atkin-Lehner |
2- 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590bk |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
933888 |
Modular degree for the optimal curve |
Δ |
-5147086466769223680 = -1 · 232 · 312 · 5 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,111622,108177977] |
[a1,a2,a3,a4,a6] |
j |
210983858600846759/7060475263057920 |
j-invariant |
L |
5.849429142463 |
L(r)(E,1)/r! |
Ω |
0.18279466070174 |
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 |
13530i1 |
Quadratic twists by: -3 |