Atkin-Lehner |
2+ 3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550x |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
484687500 = 22 · 3 · 57 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4136001,-3237913352] |
[a1,a2,a3,a4,a6] |
j |
500778229561397314561/31020 |
j-invariant |
L |
3.3876955908871 |
L(r)(E,1)/r! |
Ω |
0.10586548914425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510n3 |
Quadratic twists by: 5 |