Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890bq |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
5615938157921280 = 210 · 38 · 5 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51165,-2603259] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:1371:1] |
Generators of the group modulo torsion |
j |
172715635009/65479680 |
j-invariant |
L |
3.4490119494507 |
L(r)(E,1)/r! |
Ω |
0.32770602926093 |
Real period |
R |
2.6311782274851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000210561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630dn1 18270u1 |
Quadratic twists by: -3 -7 |