Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440bs |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
235440777461760 = 219 · 312 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 13- -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26508,1488112] |
[a1,a2,a3,a4,a6] |
Generators |
[62:288:1] |
Generators of the group modulo torsion |
j |
10779215329/1232010 |
j-invariant |
L |
6.1064585241483 |
L(r)(E,1)/r! |
Ω |
0.53901533724752 |
Real period |
R |
1.4161142787073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440em2 1170e2 12480bk2 |
Quadratic twists by: -4 8 -3 |