Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440cl |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1475868103173734400 = -1 · 224 · 36 · 52 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64788,58103984] |
[a1,a2,a3,a4,a6] |
Generators |
[550:16128:1] |
Generators of the group modulo torsion |
j |
157376536199/7722894400 |
j-invariant |
L |
4.2099081492817 |
L(r)(E,1)/r! |
Ω |
0.20412792097387 |
Real period |
R |
2.5779840217324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440fh4 1170l4 4160b4 |
Quadratic twists by: -4 8 -3 |