Atkin-Lehner |
2+ 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52998f |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.1607871164408E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1720986,-1011993908] |
[a1,a2,a3,a4,a6] |
Generators |
[47948:10471263:1] |
Generators of the group modulo torsion |
j |
-318199322523552625/65523406557312 |
j-invariant |
L |
6.6083708123378 |
L(r)(E,1)/r! |
Ω |
0.065184942388555 |
Real period |
R |
6.3361745924082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4818d2 |
Quadratic twists by: -11 |