Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544ei |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-245929096331626176 = -1 · 26 · 323 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 -3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,128328,16006142] |
[a1,a2,a3,a4,a6] |
j |
5009339741732864/5271114033171 |
j-invariant |
L |
1.6525268476374 |
L(r)(E,1)/r! |
Ω |
0.20656585618605 |
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 |
68544z1 17136bj1 22848ch1 |
Quadratic twists by: -4 8 -3 |