Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320o |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
64 |
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 |
[180408:-13207625:27] |
Generators of the group modulo torsion |
j |
2011360008789887608/55027178353437890625 |
j-invariant |
L |
5.1417775826195 |
L(r)(E,1)/r! |
Ω |
0.038545503078494 |
Real period |
R |
8.337187822906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320bl2 32160g2 |
Quadratic twists by: -4 8 |