Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200cq |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-5429409750000 = -1 · 24 · 36 · 56 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6272858,6044997663] |
[a1,a2,a3,a4,a6] |
Generators |
[1447:87:1] |
Generators of the group modulo torsion |
j |
-109189315135671400192/21717639 |
j-invariant |
L |
6.4948480413642 |
L(r)(E,1)/r! |
Ω |
0.44403733583076 |
Real period |
R |
2.437801027554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9300c2 111600do2 1488j2 |
Quadratic twists by: -4 -3 5 |