Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248bb |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-139616514471256064 = -1 · 213 · 118 · 433 |
Discriminant |
Eigenvalues |
2- -1 3 -2 11- -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196544,38118016] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:6776:1] |
Generators of the group modulo torsion |
j |
-956321377/159014 |
j-invariant |
L |
5.5446009942802 |
L(r)(E,1)/r! |
Ω |
0.31521072852313 |
Real period |
R |
1.4658450398653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10406j2 83248bl2 |
Quadratic twists by: -4 -11 |