Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400eh |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-98308148428800 = -1 · 218 · 37 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9795,-605630] |
[a1,a2,a3,a4,a6] |
Generators |
[161821:32634:1331] |
Generators of the group modulo torsion |
j |
-1392225385/1316928 |
j-invariant |
L |
7.6035134352332 |
L(r)(E,1)/r! |
Ω |
0.23099729261752 |
Real period |
R |
8.2290070901792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8550m2 22800cw2 68400fz2 |
Quadratic twists by: -4 -3 5 |