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 |
Δ |
-5132808 = -1 · 23 · 34 · 892 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,26,107] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:9:1] |
Generators of the group modulo torsion |
j |
1939096223/5132808 |
j-invariant |
L |
2.2001094029606 |
L(r)(E,1)/r! |
Ω |
1.6977294634534 |
Real period |
R |
0.43197094517939 |
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 |
4272d2 17088e2 1602a2 13350f2 |
Quadratic twists by: -4 8 -3 5 |