Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800bj |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2583984375000000000 = -1 · 29 · 33 · 518 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,222592,-66010188] |
[a1,a2,a3,a4,a6] |
Generators |
[4593:312774:1] |
Generators of the group modulo torsion |
j |
152461584507448/322998046875 |
j-invariant |
L |
4.010724647844 |
L(r)(E,1)/r! |
Ω |
0.13342252724705 |
Real period |
R |
7.5150814682472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16800bt4 33600gs3 50400bn2 3360i4 |
Quadratic twists by: -4 8 -3 5 |