Atkin-Lehner |
2- 3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370bb |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
765429354720 = 25 · 39 · 5 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22763,-1315493] |
[a1,a2,a3,a4,a6] |
j |
66267872527563/38887840 |
j-invariant |
L |
3.8869501216109 |
L(r)(E,1)/r! |
Ω |
0.38869501216414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44370d2 |
Quadratic twists by: -3 |