Atkin-Lehner |
2- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576ce |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-126893112785108992 = -1 · 229 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -4 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40703,16831137] |
[a1,a2,a3,a4,a6] |
Generators |
[2915042195856:236246538651339:444194947] |
Generators of the group modulo torsion |
j |
4934783/83968 |
j-invariant |
L |
10.848148933371 |
L(r)(E,1)/r! |
Ω |
0.24555416968503 |
Real period |
R |
22.08911570772 |
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 |
128576k1 32144n1 128576cm1 |
Quadratic twists by: -4 8 -7 |