Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290cj |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-680063827968000 = -1 · 218 · 36 · 53 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3362,1257761] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:559:1] |
Generators of the group modulo torsion |
j |
-5763259856089/932872192000 |
j-invariant |
L |
10.784965298019 |
L(r)(E,1)/r! |
Ω |
0.41702261477237 |
Real period |
R |
0.71838398871929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5810b2 |
Quadratic twists by: -3 |