Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69360ck |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8.1747157511719E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,85159,-434928420] |
[a1,a2,a3,a4,a6] |
Generators |
[347442802004371950792:21717662861917597406250:88751748789783379] |
Generators of the group modulo torsion |
j |
611926016/732421875 |
j-invariant |
L |
5.298692994385 |
L(r)(E,1)/r! |
Ω |
0.089571953242423 |
Real period |
R |
29.577857814735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340o2 69360dq2 |
Quadratic twists by: -4 17 |