Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160h |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
416923234425984000 = 210 · 3 · 53 · 113 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10657520,13388008368] |
[a1,a2,a3,a4,a6] |
Generators |
[67377:1305730:27] |
Generators of the group modulo torsion |
j |
130735118598473711977924/407151596119125 |
j-invariant |
L |
6.4270054965261 |
L(r)(E,1)/r! |
Ω |
0.26048290000417 |
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 |
34320g4 51480bn4 85800bs4 |
Quadratic twists by: -4 -3 5 |