Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574ck |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1380429777321627648 = -1 · 212 · 3 · 78 · 117 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34598803,78329229089] |
[a1,a2,a3,a4,a6] |
j |
-448504189023625/135168 |
j-invariant |
L |
5.2126553549385 |
L(r)(E,1)/r! |
Ω |
0.21719397312301 |
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 |
106722bq2 35574bx2 3234j2 |
Quadratic twists by: -3 -7 -11 |