Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384d |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5.981792977763E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-844897,-1213813535] |
[a1,a2,a3,a4,a6] |
Generators |
[9393083046502472468653317680910733831640:-18644667224789133445660986913390599328197:7070092537202661928966211323826131625] |
Generators of the group modulo torsion |
j |
-254445988507992217/2281872931580736 |
j-invariant |
L |
8.2481886625454 |
L(r)(E,1)/r! |
Ω |
0.068936225510048 |
Real period |
R |
59.824777176447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384cv3 2262h4 |
Quadratic twists by: -4 8 |