Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cp |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-726616816406250 = -1 · 2 · 3 · 510 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13235951,18533394548] |
[a1,a2,a3,a4,a6] |
Generators |
[-272870:24188934:125] |
Generators of the group modulo torsion |
j |
-14822892630025/42 |
j-invariant |
L |
6.1936412505296 |
L(r)(E,1)/r! |
Ω |
0.3349588600745 |
Real period |
R |
9.2453760836815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999719543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050gv1 1050o2 |
Quadratic twists by: 5 -11 |