Atkin-Lehner |
2- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
73346s |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
-9526162092449912 = -1 · 23 · 72 · 138 · 313 |
Discriminant |
Eigenvalues |
2- 1 0 7- 3 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31353,-5161807] |
[a1,a2,a3,a4,a6] |
j |
-4178448625/11678072 |
j-invariant |
L |
3.9917792547089 |
L(r)(E,1)/r! |
Ω |
0.16632413673848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
73346a1 |
Quadratic twists by: 13 |