Atkin-Lehner |
2- 3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470bf |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-103784796549744750 = -1 · 2 · 314 · 53 · 11 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,89338,11579699] |
[a1,a2,a3,a4,a6] |
Generators |
[4926:136043:8] |
Generators of the group modulo torsion |
j |
108170644781435111/142365976062750 |
j-invariant |
L |
10.121857317068 |
L(r)(E,1)/r! |
Ω |
0.22580344493678 |
Real period |
R |
3.7354970823935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490i4 |
Quadratic twists by: -3 |