Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416ev |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7002288180003078144 = -1 · 245 · 37 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15008556,-22380176432] |
[a1,a2,a3,a4,a6] |
Generators |
[59050468312940:17820200419425504:647214625] |
Generators of the group modulo torsion |
j |
-1956469094246217097/36641439744 |
j-invariant |
L |
7.0274048867625 |
L(r)(E,1)/r! |
Ω |
0.03835167562676 |
Real period |
R |
22.90449104217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416cq3 13104by3 17472cq3 |
Quadratic twists by: -4 8 -3 |