Atkin-Lehner |
3+ 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31059a |
Isogeny class |
Conductor |
31059 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
741888 |
Modular degree for the optimal curve |
Δ |
-1.6308795910991E+19 |
Discriminant |
Eigenvalues |
0 3+ 3 7+ 3 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,366984,174441134] |
[a1,a2,a3,a4,a6] |
Generators |
[-334:100887:8] |
Generators of the group modulo torsion |
j |
277698676361527296/828572672407193 |
j-invariant |
L |
5.6508823744762 |
L(r)(E,1)/r! |
Ω |
0.15502765667011 |
Real period |
R |
4.556350215063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31059b1 |
Quadratic twists by: -3 |