Atkin-Lehner |
2- 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928cp |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-9666866184192 = -1 · 221 · 33 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 3 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17100,-873584] |
[a1,a2,a3,a4,a6] |
j |
-78128296875/1365784 |
j-invariant |
L |
1.6682457330534 |
L(r)(E,1)/r! |
Ω |
0.2085306841056 |
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 |
116928l1 29232s1 116928ct2 |
Quadratic twists by: -4 8 -3 |