Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312bq |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
1726272 = 26 · 36 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -3 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67440,-6741002] |
[a1,a2,a3,a4,a6] |
Generators |
[-88707182804655:7957186159:591646229875] |
Generators of the group modulo torsion |
j |
727057727488000/37 |
j-invariant |
L |
5.3070490297475 |
L(r)(E,1)/r! |
Ω |
0.29625805295744 |
Real period |
R |
17.913602606812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21312k3 5328u3 2368j3 |
Quadratic twists by: -4 8 -3 |