Atkin-Lehner |
29+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
56347a |
Isogeny class |
Conductor |
56347 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
122500 |
Modular degree for the optimal curve |
Δ |
-39853162507 = -1 · 296 · 67 |
Discriminant |
Eigenvalues |
-2 2 2 -2 4 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10372,-403252] |
[a1,a2,a3,a4,a6] |
j |
-207474688/67 |
j-invariant |
L |
2.128798415787 |
L(r)(E,1)/r! |
Ω |
0.23653315769603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67a1 |
Quadratic twists by: 29 |