Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360s |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-22195200 = -1 · 210 · 3 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -2 -3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40,192] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-20:1] [-2:10:1] |
Generators of the group modulo torsion |
j |
23324/75 |
j-invariant |
L |
9.2052187932871 |
L(r)(E,1)/r! |
Ω |
1.5159251617055 |
Real period |
R |
0.75904297799611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680bx1 69360bh1 |
Quadratic twists by: -4 17 |