Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350bk |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5321845800 = -1 · 23 · 37 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27230,1736277] |
[a1,a2,a3,a4,a6] |
Generators |
[95:-39:1] |
Generators of the group modulo torsion |
j |
-122513556330625/292008 |
j-invariant |
L |
6.9865149202944 |
L(r)(E,1)/r! |
Ω |
1.1744173712151 |
Real period |
R |
0.49574332853133 |
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 |
82800dw2 3450e2 10350w2 |
Quadratic twists by: -4 -3 5 |