Atkin-Lehner |
2+ 3- 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766o |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-8290681596288 = -1 · 27 · 33 · 7 · 136 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 13- 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3361,-157804] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1202:1] |
Generators of the group modulo torsion |
j |
-4197043674447625/8290681596288 |
j-invariant |
L |
5.2146977800214 |
L(r)(E,1)/r! |
Ω |
0.2947294884082 |
Real period |
R |
0.98295366978024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116298be1 |
Quadratic twists by: -3 |