Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dk |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-24539349123072 = -1 · 220 · 33 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,372,-238320] |
[a1,a2,a3,a4,a6] |
Generators |
[110355:1975905:343] |
Generators of the group modulo torsion |
j |
804357/3467044 |
j-invariant |
L |
9.6702527861769 |
L(r)(E,1)/r! |
Ω |
0.31149722860927 |
Real period |
R |
7.7611065997606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608s2 19152bj2 76608dl2 |
Quadratic twists by: -4 8 -3 |