Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800dd |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-97336000 = -1 · 26 · 53 · 233 |
Discriminant |
Eigenvalues |
2- 0 5- 3 0 -4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110,-650] |
[a1,a2,a3,a4,a6] |
Generators |
[210:965:8] |
Generators of the group modulo torsion |
j |
-18399744/12167 |
j-invariant |
L |
5.8313105019087 |
L(r)(E,1)/r! |
Ω |
0.71589906206816 |
Real period |
R |
4.0727183557556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800dm1 18400k1 36800dl1 |
Quadratic twists by: -4 8 5 |