Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312v |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
110481408 = 212 · 36 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1764,28512] |
[a1,a2,a3,a4,a6] |
Generators |
[21:27:1] |
Generators of the group modulo torsion |
j |
203297472/37 |
j-invariant |
L |
4.9774488140115 |
L(r)(E,1)/r! |
Ω |
1.8195629516709 |
Real period |
R |
1.3677594417497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21312u2 10656q1 2368e2 |
Quadratic twists by: -4 8 -3 |