Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bl |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
704 |
Product of Tamagawa factors cp |
Δ |
-1.8031305802855E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,841535,64605428063] |
[a1,a2,a3,a4,a6] |
Generators |
[7721:729000:1] |
Generators of the group modulo torsion |
j |
2011360008789887608/55027178353437890625 |
j-invariant |
L |
9.0830161162472 |
L(r)(E,1)/r! |
Ω |
0.066051217135056 |
Real period |
R |
0.78133376419222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320o2 32160p2 |
Quadratic twists by: -4 8 |