Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bu |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-1187164160000000 = -1 · 218 · 57 · 73 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10312,1612281] |
[a1,a2,a3,a4,a6] |
Generators |
[165:2717:1] |
Generators of the group modulo torsion |
j |
45924354671/449576960 |
j-invariant |
L |
8.0177529281257 |
L(r)(E,1)/r! |
Ω |
0.35750287267222 |
Real period |
R |
0.20765833987089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830f1 59150a1 |
Quadratic twists by: 5 13 |