Atkin-Lehner |
2+ 7+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
88816b |
Isogeny class |
Conductor |
88816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-86684416 = -1 · 28 · 7 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 2 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1225,-16107] |
[a1,a2,a3,a4,a6] |
j |
-794779196416/338611 |
j-invariant |
L |
3.2276385352196 |
L(r)(E,1)/r! |
Ω |
0.40345481073109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44408c1 |
Quadratic twists by: -4 |