Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928ey |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-69518676197376 = -1 · 226 · 36 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 1 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58764,5497616] |
[a1,a2,a3,a4,a6] |
Generators |
[290:3584:1] |
Generators of the group modulo torsion |
j |
-117433042273/363776 |
j-invariant |
L |
5.420413587943 |
L(r)(E,1)/r! |
Ω |
0.6190490269936 |
Real period |
R |
1.0945040987548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928bt1 29232br1 12992bh1 |
Quadratic twists by: -4 8 -3 |