Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800cl |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2179872000000000 = -1 · 214 · 34 · 59 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 6 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31792,-545088] |
[a1,a2,a3,a4,a6] |
Generators |
[53:1134:1] |
Generators of the group modulo torsion |
j |
444194947/272484 |
j-invariant |
L |
4.5083797337678 |
L(r)(E,1)/r! |
Ω |
0.26779023682414 |
Real period |
R |
4.2088723876156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4350z2 104400gf2 34800dp2 |
Quadratic twists by: -4 -3 5 |