Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890bj |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-76905884160 = -1 · 29 · 36 · 5 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-870,16820] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:145:1] |
Generators of the group modulo torsion |
j |
-2040039729/2152960 |
j-invariant |
L |
4.6605099787072 |
L(r)(E,1)/r! |
Ω |
0.9884937505892 |
Real period |
R |
1.1786897979374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999616561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210r1 127890cd1 |
Quadratic twists by: -3 -7 |