Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440er |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1937784176640000 = 223 · 37 · 54 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49840428,135431833552] |
[a1,a2,a3,a4,a6] |
j |
71647584155243142409/10140000 |
j-invariant |
L |
2.1404484844007 |
L(r)(E,1)/r! |
Ω |
0.26755606055128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440bv4 9360bz4 12480dg3 |
Quadratic twists by: -4 8 -3 |