Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608dx |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38125043712 = 217 · 37 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-612876,-184674544] |
[a1,a2,a3,a4,a6] |
Generators |
[1069:19539:1] |
Generators of the group modulo torsion |
j |
266442869452034/399 |
j-invariant |
L |
4.2510872615915 |
L(r)(E,1)/r! |
Ω |
0.17063039690692 |
Real period |
R |
6.2285022759675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cn4 19152q3 25536br4 |
Quadratic twists by: -4 8 -3 |