Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fk |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
486780558114816 = 222 · 38 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44364,-3436400] |
[a1,a2,a3,a4,a6] |
Generators |
[21188:272745:64] |
Generators of the group modulo torsion |
j |
50529889873/2547216 |
j-invariant |
L |
8.3346839020347 |
L(r)(E,1)/r! |
Ω |
0.32998902638022 |
Real period |
R |
6.3143644453265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999303 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76608bb2 19152bu2 25536dp2 |
Quadratic twists by: -4 8 -3 |