Atkin-Lehner |
2+ 7- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17374b |
Isogeny class |
Conductor |
17374 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
121167363473408 = 215 · 74 · 172 · 732 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-176029,-28495107] |
[a1,a2,a3,a4,a6] |
Generators |
[13143:26023:27] |
Generators of the group modulo torsion |
j |
603226250643487994713/121167363473408 |
j-invariant |
L |
6.1946073683795 |
L(r)(E,1)/r! |
Ω |
0.2330818265208 |
Real period |
R |
6.6442410599381 |
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 |
121618h2 |
Quadratic twists by: -7 |