Atkin-Lehner |
2- 3+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560bj |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.4748819330316E+18 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11908060,-15813197300] |
[a1,a2,a3,a4,a6] |
Generators |
[711647257990824528726402196219786804816267010:-176227432687538989824259572251812820902562787423:11567568535302649389411939369794237969000] |
Generators of the group modulo torsion |
j |
-729468975452842173147856/37011257550904725 |
j-invariant |
L |
5.2556122510231 |
L(r)(E,1)/r! |
Ω |
0.040635721984297 |
Real period |
R |
64.667391052249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19140j2 |
Quadratic twists by: -4 |