Atkin-Lehner |
3- 5+ 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
82305c |
Isogeny class |
Conductor |
82305 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.0299741840363E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5280097,-1427393388] |
[a1,a2,a3,a4,a6] |
Generators |
[707202705:51677830931:166375] |
Generators of the group modulo torsion |
j |
22331709197334957078359/14128589630126953125 |
j-invariant |
L |
2.4587068881468 |
L(r)(E,1)/r! |
Ω |
0.073860087995462 |
Real period |
R |
16.644353892259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27435a3 |
Quadratic twists by: -3 |