Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350u |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31014564609375000 = 23 · 314 · 510 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-806292,-278337384] |
[a1,a2,a3,a4,a6] |
Generators |
[1113:13659:1] |
Generators of the group modulo torsion |
j |
5089246809796729/2722815000 |
j-invariant |
L |
2.6137250385797 |
L(r)(E,1)/r! |
Ω |
0.15932737011658 |
Real period |
R |
4.1011865015174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450y4 7470o3 |
Quadratic twists by: -3 5 |