Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112r |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11035318664595456 = 211 · 33 · 72 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1077392,-430047540] |
[a1,a2,a3,a4,a6] |
j |
67532900408631058466/5388339191697 |
j-invariant |
L |
2.3709813962953 |
L(r)(E,1)/r! |
Ω |
0.14818633726843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70224s4 105336v4 |
Quadratic twists by: -4 -3 |