Atkin-Lehner |
2+ 3- 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710j |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-11561831843758080 = -1 · 230 · 3 · 5 · 233 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 -6 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27928,-5478682] |
[a1,a2,a3,a4,a6] |
j |
-2408911614134240761/11561831843758080 |
j-invariant |
L |
3.0067304469579 |
L(r)(E,1)/r! |
Ω |
0.1670405803887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130bt2 |
Quadratic twists by: -3 |