Atkin-Lehner |
2+ 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978w |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4900133541941402688 = -1 · 26 · 32 · 710 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,84597,106088182] |
[a1,a2,a3,a4,a6] |
Generators |
[-409:1968:1] |
Generators of the group modulo torsion |
j |
569125098462311/41650447874112 |
j-invariant |
L |
4.630321466755 |
L(r)(E,1)/r! |
Ω |
0.18576251878215 |
Real period |
R |
3.1157533131016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854b2 |
Quadratic twists by: -7 |