Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360dq |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3386718750000 = -1 · 24 · 3 · 512 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,295,-88422] |
[a1,a2,a3,a4,a6] |
j |
611926016/732421875 |
j-invariant |
L |
4.4317754873743 |
L(r)(E,1)/r! |
Ω |
0.3693146243114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340f2 69360ck2 |
Quadratic twists by: -4 17 |