Atkin-Lehner |
2- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
82400o |
Isogeny class |
Conductor |
82400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-2575000000 = -1 · 26 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 2 5- -1 -2 -3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1458,-21088] |
[a1,a2,a3,a4,a6] |
j |
-13720000/103 |
j-invariant |
L |
2.316657967054 |
L(r)(E,1)/r! |
Ω |
0.38610965258693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82400g1 82400c1 |
Quadratic twists by: -4 5 |