Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160h |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2.0367144793569E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1942520,-784513632] |
[a1,a2,a3,a4,a6] |
Generators |
[15738:439005:8] |
Generators of the group modulo torsion |
j |
791626776989285437924/198897898374693375 |
j-invariant |
L |
6.4270054965261 |
L(r)(E,1)/r! |
Ω |
0.13024145000209 |
Real period |
R |
8.2244752552831 |
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 |
34320g3 51480bn3 85800bs3 |
Quadratic twists by: -4 -3 5 |