Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040ba |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1731225600 = 211 · 32 · 52 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36067200,83359313748] |
[a1,a2,a3,a4,a6] |
Generators |
[3503:3678:1] |
Generators of the group modulo torsion |
j |
2533559197411478296569602/845325 |
j-invariant |
L |
7.9309778163232 |
L(r)(E,1)/r! |
Ω |
0.41714000975485 |
Real period |
R |
4.7531869581313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26520s6 |
Quadratic twists by: -4 |