Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040ba |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1346718750000000000 = 210 · 3 · 516 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-314080,-38479900] |
[a1,a2,a3,a4,a6] |
Generators |
[7370:170625:8] |
Generators of the group modulo torsion |
j |
3346154465291614084/1315155029296875 |
j-invariant |
L |
7.9309778163232 |
L(r)(E,1)/r! |
Ω |
0.20857000487743 |
Real period |
R |
2.3765934790643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520s3 |
Quadratic twists by: -4 |