Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fr |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-29223605005056 = -1 · 28 · 36 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34104,2438044] |
[a1,a2,a3,a4,a6] |
j |
-199794688/1331 |
j-invariant |
L |
2.6658106154697 |
L(r)(E,1)/r! |
Ω |
0.66645265113625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404bd2 8624ba2 1584o2 |
Quadratic twists by: -4 -3 -7 |