Atkin-Lehner |
7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41209d |
Isogeny class |
Conductor |
41209 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-99442104195999509 = -1 · 78 · 297 |
Discriminant |
Eigenvalues |
1 -1 -1 7- 5 5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-858,15171661] |
[a1,a2,a3,a4,a6] |
j |
-1/1421 |
j-invariant |
L |
2.1418954739942 |
L(r)(E,1)/r! |
Ω |
0.26773693426197 |
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 |
5887a1 1421f1 |
Quadratic twists by: -7 29 |