Atkin-Lehner |
5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120185d |
Isogeny class |
Conductor |
120185 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
154224 |
Modular degree for the optimal curve |
Δ |
410888598185 = 5 · 13 · 436 |
Discriminant |
Eigenvalues |
1 2 5- 4 2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1887,-7504] |
[a1,a2,a3,a4,a6] |
Generators |
[82464180317641860419146080:-1129186158808805483148637196:449829591365250423008109] |
Generators of the group modulo torsion |
j |
117649/65 |
j-invariant |
L |
16.141035013438 |
L(r)(E,1)/r! |
Ω |
0.77546390580434 |
Real period |
R |
41.629365078015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65a1 |
Quadratic twists by: -43 |