Atkin-Lehner |
3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2655h |
Isogeny class |
Conductor |
2655 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
470325285 = 313 · 5 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 -3 3 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1137,-14720] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:4:1] |
Generators of the group modulo torsion |
j |
222985990144/645165 |
j-invariant |
L |
1.9268201958229 |
L(r)(E,1)/r! |
Ω |
0.82230885994136 |
Real period |
R |
1.1715915331134 |
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 |
42480ca1 885a1 13275p1 |
Quadratic twists by: -4 -3 5 |