Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dp |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
237568 |
Modular degree for the optimal curve |
Δ |
-885178368 = -1 · 214 · 34 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59013,-5537565] |
[a1,a2,a3,a4,a6] |
Generators |
[30180:541995:64] |
Generators of the group modulo torsion |
j |
-1387248332416000/54027 |
j-invariant |
L |
5.1249476855694 |
L(r)(E,1)/r! |
Ω |
0.15315529686625 |
Real period |
R |
8.3656061580869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000209051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064h1 32016b1 |
Quadratic twists by: -4 8 |