Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440du |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.7233963343674E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57659268,-168508299008] |
[a1,a2,a3,a4,a6] |
Generators |
[1405073172092:220895145656820:51895117] |
Generators of the group modulo torsion |
j |
7099759044484031233216/577161945398025 |
j-invariant |
L |
4.2960538144162 |
L(r)(E,1)/r! |
Ω |
0.05478786688982 |
Real period |
R |
19.603125921363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37440dr2 18720bo1 12480cu2 |
Quadratic twists by: -4 8 -3 |