Atkin-Lehner |
2- 3- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670s |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
431270276400 = 24 · 310 · 52 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2406,32436] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:294:1] |
Generators of the group modulo torsion |
j |
1540358688675169/431270276400 |
j-invariant |
L |
8.1068047893503 |
L(r)(E,1)/r! |
Ω |
0.87751190873569 |
Real period |
R |
0.23095996500579 |
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 |
53010s2 88350a2 |
Quadratic twists by: -3 5 |