Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6256h |
Isogeny class |
Conductor |
6256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-3203072 = -1 · 213 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -3 0 1 2 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5,-86] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
3375/782 |
j-invariant |
L |
2.6000584448793 |
L(r)(E,1)/r! |
Ω |
1.1861511818769 |
Real period |
R |
0.54800317291026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
782d1 25024o1 56304bi1 106352n1 |
Quadratic twists by: -4 8 -3 17 |