Atkin-Lehner |
2+ 3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18870j |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.3587995769426E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5423214,5009746336] |
[a1,a2,a3,a4,a6] |
Generators |
[1381:11741:1] |
Generators of the group modulo torsion |
j |
-17639806755131374412380249/635879957694262502400 |
j-invariant |
L |
4.636115948272 |
L(r)(E,1)/r! |
Ω |
0.16115817100027 |
Real period |
R |
3.5959361535137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56610be2 94350bl2 |
Quadratic twists by: -3 5 |