Atkin-Lehner |
3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673o |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-3056380021342056789 = -1 · 36 · 172 · 299 |
Discriminant |
Eigenvalues |
-1 3- -1 -2 3 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-429068,-136923092] |
[a1,a2,a3,a4,a6] |
Generators |
[719964:14253695:729] |
Generators of the group modulo torsion |
j |
-20145851361/7048421 |
j-invariant |
L |
3.7439490618725 |
L(r)(E,1)/r! |
Ω |
0.091654638231421 |
Real period |
R |
10.21211024813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999476105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14297c1 4437e1 |
Quadratic twists by: -3 29 |