Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040bl |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-416529181462118400 = -1 · 214 · 36 · 52 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,186584,1306480] |
[a1,a2,a3,a4,a6] |
Generators |
[58:3510:1] |
Generators of the group modulo torsion |
j |
175381844946241751/101691694692900 |
j-invariant |
L |
3.6842681312751 |
L(r)(E,1)/r! |
Ω |
0.17943162252368 |
Real period |
R |
0.85554134760537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630k2 |
Quadratic twists by: -4 |