Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4416l |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-847872 = -1 · 212 · 32 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,23] |
[a1,a2,a3,a4,a6] |
Generators |
[2:9:1] |
Generators of the group modulo torsion |
j |
314432/207 |
j-invariant |
L |
4.6061225933494 |
L(r)(E,1)/r! |
Ω |
1.7636521122832 |
Real period |
R |
1.3058478373568 |
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 |
4416d1 2208i1 13248i1 110400h1 |
Quadratic twists by: -4 8 -3 5 |