Atkin-Lehner |
2+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2840b |
Isogeny class |
Conductor |
2840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
286328800000000 = 211 · 58 · 713 |
Discriminant |
Eigenvalues |
2+ 3 5- -1 -2 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16867,219326] |
[a1,a2,a3,a4,a6] |
j |
259123794463602/139808984375 |
j-invariant |
L |
3.8287348676819 |
L(r)(E,1)/r! |
Ω |
0.47859185846023 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5680e1 22720e1 25560e1 14200d1 |
Quadratic twists by: -4 8 -3 5 |