Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608bt |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
29287963579908096 = 221 · 37 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3617004,-2647704400] |
[a1,a2,a3,a4,a6] |
Generators |
[2548:68400:1] |
Generators of the group modulo torsion |
j |
27384399945278713/153257496 |
j-invariant |
L |
6.8778837917187 |
L(r)(E,1)/r! |
Ω |
0.10947436965835 |
Real period |
R |
3.9266518569245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ew4 2394k3 25536i4 |
Quadratic twists by: -4 8 -3 |