Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978bk |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
660635308878741504 = 214 · 34 · 76 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4300584,3430712361] |
[a1,a2,a3,a4,a6] |
Generators |
[1413:-14035:1] |
Generators of the group modulo torsion |
j |
74768347616680342513/5615307472896 |
j-invariant |
L |
6.698714089652 |
L(r)(E,1)/r! |
Ω |
0.2737151836789 |
Real period |
R |
0.87404646573907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1122k2 |
Quadratic twists by: -7 |