Atkin-Lehner |
2- 3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520cu |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
584994447360000 = 216 · 32 · 54 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-235880,-44157900] |
[a1,a2,a3,a4,a6] |
j |
354355324368975721/142820910000 |
j-invariant |
L |
3.4662278934385 |
L(r)(E,1)/r! |
Ω |
0.21663924154858 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690h4 |
Quadratic twists by: -4 |