Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cb |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-1652241732017848320 = -1 · 228 · 3 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-370016,-106318080] |
[a1,a2,a3,a4,a6] |
j |
-56667352321/16711680 |
j-invariant |
L |
1.525387726803 |
L(r)(E,1)/r! |
Ω |
0.09533673340476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670v1 4080be1 |
Quadratic twists by: -4 17 |