Atkin-Lehner |
2- 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670w |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
63168836400 = 24 · 32 · 52 · 19 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1321,13865] |
[a1,a2,a3,a4,a6] |
Generators |
[4:91:1] |
Generators of the group modulo torsion |
j |
254948647526929/63168836400 |
j-invariant |
L |
7.7886802589157 |
L(r)(E,1)/r! |
Ω |
1.0368207886701 |
Real period |
R |
0.46950497279923 |
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 |
53010bd2 88350n2 |
Quadratic twists by: -3 5 |