Atkin-Lehner |
2- 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
31892d |
Isogeny class |
Conductor |
31892 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
2168656 = 24 · 7 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 1 3 7- -2 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-609,-5992] |
[a1,a2,a3,a4,a6] |
Generators |
[-393:17:27] |
Generators of the group modulo torsion |
j |
1563754381312/135541 |
j-invariant |
L |
8.0411622110536 |
L(r)(E,1)/r! |
Ω |
0.9609218732055 |
Real period |
R |
1.3946958012014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568s1 |
Quadratic twists by: -4 |