Atkin-Lehner |
2- 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094u |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
137510427002256 = 24 · 32 · 78 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-118472,-15734599] |
[a1,a2,a3,a4,a6] |
j |
183895499824068235393/137510427002256 |
j-invariant |
L |
4.1175139804176 |
L(r)(E,1)/r! |
Ω |
0.2573446237761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51282s2 119658cx2 |
Quadratic twists by: -3 -7 |