Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608ds |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2235727872 = 215 · 33 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,-11440] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:13:1] [-16:4:1] |
Generators of the group modulo torsion |
j |
114791256/2527 |
j-invariant |
L |
8.5170158260745 |
L(r)(E,1)/r! |
Ω |
0.85617941857519 |
Real period |
R |
4.9738498970735 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cz2 38304e2 76608dq2 |
Quadratic twists by: -4 8 -3 |