Atkin-Lehner |
2+ 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52234d |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
554400 |
Modular degree for the optimal curve |
Δ |
-85161260667028 = -1 · 22 · 78 · 133 · 412 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ -3 13- 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-684506,-218264584] |
[a1,a2,a3,a4,a6] |
j |
-6152790972990697/14772628 |
j-invariant |
L |
0.99587847275363 |
L(r)(E,1)/r! |
Ω |
0.082989872815902 |
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 |
52234l1 |
Quadratic twists by: -7 |