Atkin-Lehner |
2- 3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
47970v |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
436427222400 = 27 · 39 · 52 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18892793,-31602937319] |
[a1,a2,a3,a4,a6] |
Generators |
[34163:-6277600:1] |
Generators of the group modulo torsion |
j |
37889676453091726948203/22172800 |
j-invariant |
L |
9.6509634838436 |
L(r)(E,1)/r! |
Ω |
0.072414496425503 |
Real period |
R |
9.5195653990279 |
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 |
47970b2 |
Quadratic twists by: -3 |