Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19992j |
Isogeny class |
Conductor |
19992 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.8697254453318E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 6 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13155144,-18242425620] |
[a1,a2,a3,a4,a6] |
Generators |
[278052:5195421:64] |
Generators of the group modulo torsion |
j |
1044942448578893426/7759962920241 |
j-invariant |
L |
3.8687111024358 |
L(r)(E,1)/r! |
Ω |
0.079308562139599 |
Real period |
R |
4.0650414428416 |
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 |
39984z2 59976bi2 2856a2 |
Quadratic twists by: -4 -3 -7 |