Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496x |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2632902508544 = 219 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3649,32031] |
[a1,a2,a3,a4,a6] |
Generators |
[251:-3872:1] [-19:308:1] |
Generators of the group modulo torsion |
j |
59776471/29282 |
j-invariant |
L |
5.6856798407288 |
L(r)(E,1)/r! |
Ω |
0.71951803985033 |
Real period |
R |
1.9755167785338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496dk2 1078l2 34496t2 |
Quadratic twists by: -4 8 -7 |