Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2208i |
Isogeny class |
Conductor |
2208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-13248 = -1 · 26 · 32 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6,0] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
314432/207 |
j-invariant |
L |
2.2927813560351 |
L(r)(E,1)/r! |
Ω |
2.4941807364988 |
Real period |
R |
0.91925229093604 |
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 |
2208e1 4416l1 6624a1 55200y1 |
Quadratic twists by: -4 8 -3 5 |