Atkin-Lehner |
2- 3+ 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558bd |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
6075146488992 = 25 · 3 · 73 · 174 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-175333,28184843] |
[a1,a2,a3,a4,a6] |
Generators |
[229:-444:1] |
Generators of the group modulo torsion |
j |
596094147994160796625/6075146488992 |
j-invariant |
L |
7.1861911250372 |
L(r)(E,1)/r! |
Ω |
0.68330069568873 |
Real period |
R |
0.3505626522544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674o2 |
Quadratic twists by: -3 |