Atkin-Lehner |
2- 3+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
534a |
Isogeny class |
Conductor |
534 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
51264 = 26 · 32 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] |
Generators of the group modulo torsion |
j |
304821217/51264 |
j-invariant |
L |
2.2001094029606 |
L(r)(E,1)/r! |
Ω |
3.3954589269068 |
Real period |
R |
0.2159854725897 |
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 |
4272d1 17088e1 1602a1 13350f1 |
Quadratic twists by: -4 8 -3 5 |