Atkin-Lehner |
3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
77163d |
Isogeny class |
Conductor |
77163 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.755701164943E+22 |
Discriminant |
Eigenvalues |
1 3- 2 4 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21426900,-39004018169] |
[a1,a2,a3,a4,a6] |
Generators |
[666332221421369585034400:-89413187983423724304988251:34885263192261558272] |
Generators of the group modulo torsion |
j |
-45072140451788903257/1141664748816681 |
j-invariant |
L |
13.063442923971 |
L(r)(E,1)/r! |
Ω |
0.035033217636603 |
Real period |
R |
31.073944012699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4539c2 |
Quadratic twists by: 17 |