Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978bk |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
203236889353344 = 27 · 38 · 76 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68808104,219659919401] |
[a1,a2,a3,a4,a6] |
Generators |
[4801:-931:1] |
Generators of the group modulo torsion |
j |
306234591284035366263793/1727485056 |
j-invariant |
L |
6.698714089652 |
L(r)(E,1)/r! |
Ω |
0.2737151836789 |
Real period |
R |
1.7480929314781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1122k3 |
Quadratic twists by: -7 |