Atkin-Lehner |
3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
119925t |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-200076498984375 = -1 · 37 · 57 · 134 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9792,778491] |
[a1,a2,a3,a4,a6] |
Generators |
[236782:6042609:343] |
Generators of the group modulo torsion |
j |
-9116230969/17565015 |
j-invariant |
L |
8.9415114638077 |
L(r)(E,1)/r! |
Ω |
0.50340892563556 |
Real period |
R |
8.8809624226303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999555281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39975m1 23985s1 |
Quadratic twists by: -3 5 |