Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296cn |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-644952558594097152 = -1 · 216 · 37 · 74 · 374 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164379,46378442] |
[a1,a2,a3,a4,a6] |
Generators |
[61:6048:1] |
Generators of the group modulo torsion |
j |
-164503536215257/215993306928 |
j-invariant |
L |
6.7995227478316 |
L(r)(E,1)/r! |
Ω |
0.25995040715717 |
Real period |
R |
1.6348124874546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4662l4 12432bl4 |
Quadratic twists by: -4 -3 |