Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850u |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.3076188330078E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43564501,-110677905352] |
[a1,a2,a3,a4,a6] |
Generators |
[-3812:2252:1] |
Generators of the group modulo torsion |
j |
585196747116290735872321/836876053125000 |
j-invariant |
L |
4.760963373974 |
L(r)(E,1)/r! |
Ω |
0.058764684276237 |
Real period |
R |
2.5317945168788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550eb6 3570t5 124950bc6 |
Quadratic twists by: -3 5 -7 |