Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400ec |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-320013504000000 = -1 · 212 · 36 · 56 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33600,-2522000] |
[a1,a2,a3,a4,a6] |
Generators |
[277112580715:12428750105829:136590875] |
Generators of the group modulo torsion |
j |
-89915392/6859 |
j-invariant |
L |
6.6904496217571 |
L(r)(E,1)/r! |
Ω |
0.17554422675479 |
Real period |
R |
19.056307761983 |
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 |
4275k2 7600m2 2736q2 |
Quadratic twists by: -4 -3 5 |