Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890fg |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
5348512531353600 = 212 · 37 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149288,-21883669] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:597:1] |
Generators of the group modulo torsion |
j |
4290223486249/62361600 |
j-invariant |
L |
8.2941246476368 |
L(r)(E,1)/r! |
Ω |
0.24309490619773 |
Real period |
R |
0.7108098864899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630bt1 18270bv1 |
Quadratic twists by: -3 -7 |