Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36064d |
Isogeny class |
Conductor |
36064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1561384821248 = 29 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 2 2 7- -2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3152,-30988] |
[a1,a2,a3,a4,a6] |
Generators |
[268:4278:1] |
Generators of the group modulo torsion |
j |
57512456/25921 |
j-invariant |
L |
9.1229048902141 |
L(r)(E,1)/r! |
Ω |
0.66465930496777 |
Real period |
R |
3.431421489938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36064f2 72128bp2 5152f2 |
Quadratic twists by: -4 8 -7 |