Atkin-Lehner |
2- 3- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41412g |
Isogeny class |
Conductor |
41412 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4128 |
Modular degree for the optimal curve |
Δ |
165648 = 24 · 3 · 7 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22,-43] |
[a1,a2,a3,a4,a6] |
j |
76995328/10353 |
j-invariant |
L |
2.2156864439549 |
L(r)(E,1)/r! |
Ω |
2.2156864440225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124236k1 |
Quadratic twists by: -3 |