Atkin-Lehner |
2- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
2848c |
Isogeny class |
Conductor |
2848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-364544 = -1 · 212 · 89 |
Discriminant |
Eigenvalues |
2- -3 -1 -4 -2 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,64] |
[a1,a2,a3,a4,a6] |
Generators |
[10:28:1] [-3:11:1] |
Generators of the group modulo torsion |
j |
-592704/89 |
j-invariant |
L |
2.4861095439054 |
L(r)(E,1)/r! |
Ω |
2.9176581081424 |
Real period |
R |
0.21302269249491 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2848b1 5696k1 25632h1 71200c1 |
Quadratic twists by: -4 8 -3 5 |