Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050fx |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
97320960 |
Modular degree for the optimal curve |
Δ |
1.6980415093195E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-973051813,-9858626280469] |
[a1,a2,a3,a4,a6] |
Generators |
[-15445:1226772:1] |
Generators of the group modulo torsion |
j |
2765523913831303451/460886630400000 |
j-invariant |
L |
9.9320622849851 |
L(r)(E,1)/r! |
Ω |
0.027337339383958 |
Real period |
R |
3.7845300025223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bh1 127050a1 |
Quadratic twists by: 5 -11 |