Atkin-Lehner |
17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37553a |
Isogeny class |
Conductor |
37553 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3115193230081 = 172 · 476 |
Discriminant |
Eigenvalues |
-1 0 2 4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12564,538478] |
[a1,a2,a3,a4,a6] |
Generators |
[2660229411:-2946083512:45499293] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
4.7142067929249 |
L(r)(E,1)/r! |
Ω |
0.8010144262312 |
Real period |
R |
11.770591486362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17a2 |
Quadratic twists by: -47 |