Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235be |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.8783102570876E+24 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31142443,95556847416] |
[a1,a2,a3,a4,a6] |
Generators |
[-1735146452458034:570446457579172971:2153685807944] |
Generators of the group modulo torsion |
j |
949279533867428399/1670570708285115 |
j-invariant |
L |
4.1876207660537 |
L(r)(E,1)/r! |
Ω |
0.051962485938064 |
Real period |
R |
20.147326915275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745d6 4095i6 |
Quadratic twists by: -3 13 |