Atkin-Lehner |
2- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976r |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.2176616085409E+24 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6084328,-71878736016] |
[a1,a2,a3,a4,a6] |
Generators |
[45302360134428:4259373447628288:4467667023] |
Generators of the group modulo torsion |
j |
-6081373687548915771625/541421291147691716608 |
j-invariant |
L |
8.2037886649218 |
L(r)(E,1)/r! |
Ω |
0.036320800176123 |
Real period |
R |
18.822521863283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622f3 |
Quadratic twists by: -4 |