Atkin-Lehner |
2+ 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52234b |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-27002350943204 = -1 · 22 · 78 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ 3 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37609,-2821472] |
[a1,a2,a3,a4,a6] |
j |
-1020465085129/4684004 |
j-invariant |
L |
1.3709408663684 |
L(r)(E,1)/r! |
Ω |
0.17136760824498 |
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 |
52234h1 |
Quadratic twists by: -7 |