Atkin-Lehner |
2+ 3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470u |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0465675551E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5729359,-7217694718] |
[a1,a2,a3,a4,a6] |
Generators |
[16738091489:-1621049888324:1685159] |
Generators of the group modulo torsion |
j |
-20798964361840467800516329/10465675551000000000000 |
j-invariant |
L |
4.2578524260415 |
L(r)(E,1)/r! |
Ω |
0.047655630456764 |
Real period |
R |
11.168282701398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410bo3 |
Quadratic twists by: -3 |