Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598be |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1045542938804 = 22 · 72 · 13 · 177 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66764401,-209957320659] |
[a1,a2,a3,a4,a6] |
Generators |
[470721:-53726074:27] [956980:93031763:64] |
Generators of the group modulo torsion |
j |
1363531101852339510273/43316 |
j-invariant |
L |
12.464557028053 |
L(r)(E,1)/r! |
Ω |
0.052815733541863 |
Real period |
R |
59.000207855568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3094e3 |
Quadratic twists by: 17 |