Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40200z |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-395628300000000 = -1 · 28 · 310 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18292,89412] |
[a1,a2,a3,a4,a6] |
Generators |
[8:486:1] |
Generators of the group modulo torsion |
j |
6768361520/3956283 |
j-invariant |
L |
3.455708108333 |
L(r)(E,1)/r! |
Ω |
0.32283758760156 |
Real period |
R |
1.3380211292953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400bn1 120600bb1 40200o1 |
Quadratic twists by: -4 -3 5 |