Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360dv |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2462032038000 = -1 · 24 · 3 · 53 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 3 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2088410,1160944683] |
[a1,a2,a3,a4,a6] |
j |
-2608300961238784/6375 |
j-invariant |
L |
6.4130571282678 |
L(r)(E,1)/r! |
Ω |
0.53442142740053 |
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 |
17340h2 4080u2 |
Quadratic twists by: -4 17 |