Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115bc |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
680985396966655935 = 37 · 5 · 74 · 1110 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-221634,6100353] |
[a1,a2,a3,a4,a6] |
Generators |
[-12624:79517:27] |
Generators of the group modulo torsion |
j |
932288503609/527295615 |
j-invariant |
L |
7.7700242599602 |
L(r)(E,1)/r! |
Ω |
0.24691518703853 |
Real period |
R |
3.9335491840096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705k3 3465n3 |
Quadratic twists by: -3 -11 |