Atkin-Lehner |
2- 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
2556b |
Isogeny class |
Conductor |
2556 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
30672 = 24 · 33 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72,-235] |
[a1,a2,a3,a4,a6] |
Generators |
[43:276:1] |
Generators of the group modulo torsion |
j |
95551488/71 |
j-invariant |
L |
2.7205993217887 |
L(r)(E,1)/r! |
Ω |
1.6390258456022 |
Real period |
R |
3.3197759865577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10224h1 40896j1 2556a1 63900c1 |
Quadratic twists by: -4 8 -3 5 |