Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800bv |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5909760000000 = 214 · 35 · 57 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196992008,-1064128873488] |
[a1,a2,a3,a4,a6] |
j |
13209596798923694545921/92340 |
j-invariant |
L |
2.9014821234753 |
L(r)(E,1)/r! |
Ω |
0.040298362826046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2850l4 91200ik4 68400eq4 4560bc3 |
Quadratic twists by: -4 8 -3 5 |