Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3440d |
Isogeny class |
Conductor |
3440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-110080000 = -1 · 212 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 1 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128,752] |
[a1,a2,a3,a4,a6] |
Generators |
[1:25:1] |
Generators of the group modulo torsion |
j |
-56623104/26875 |
j-invariant |
L |
3.356195001717 |
L(r)(E,1)/r! |
Ω |
1.7518609972464 |
Real period |
R |
0.95789420707245 |
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 |
215a1 13760q1 30960bz1 17200j1 |
Quadratic twists by: -4 8 -3 5 |