Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350w |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-83153840625000 = -1 · 23 · 37 · 58 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-680742,216353916] |
[a1,a2,a3,a4,a6] |
j |
-122513556330625/292008 |
j-invariant |
L |
1.0504308303974 |
L(r)(E,1)/r! |
Ω |
0.52521541519872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82800ez2 3450ba2 10350bk2 |
Quadratic twists by: -4 -3 5 |