Atkin-Lehner |
2- 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67184o |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-292384768 = -1 · 212 · 13 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -2 0 -2 2 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,820] |
[a1,a2,a3,a4,a6] |
Generators |
[6:32:1] |
Generators of the group modulo torsion |
j |
-15625/71383 |
j-invariant |
L |
3.8675809182104 |
L(r)(E,1)/r! |
Ω |
1.3875775571265 |
Real period |
R |
1.3936449527966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4199a1 |
Quadratic twists by: -4 |