Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
1128d |
Isogeny class |
Conductor |
1128 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-3336269569828051968 = -1 · 210 · 322 · 473 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-437784,142107228] |
[a1,a2,a3,a4,a6] |
Generators |
[182:8272:1] |
Generators of the group modulo torsion |
j |
-9061589884199351908/3258075751785207 |
j-invariant |
L |
2.0587879612901 |
L(r)(E,1)/r! |
Ω |
0.23654211665898 |
Real period |
R |
2.9012281764297 |
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 |
2256e1 9024v1 3384a1 28200h1 |
Quadratic twists by: -4 8 -3 5 |