Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800ej |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-9.889579008E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,617325,-440536750] |
[a1,a2,a3,a4,a6] |
j |
557644990391/2119680000 |
j-invariant |
L |
3.0771283784955 |
L(r)(E,1)/r! |
Ω |
0.096160261973718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10350k1 27600bj1 16560bv1 |
Quadratic twists by: -4 -3 5 |