Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gh |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.7392521744474E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-283982979,-1841987068670] |
[a1,a2,a3,a4,a6] |
Generators |
[8816910824105085:1458320474938624870:241455219083] |
Generators of the group modulo torsion |
j |
7209828390823479793/49509306 |
j-invariant |
L |
8.097375949532 |
L(r)(E,1)/r! |
Ω |
0.036777015025165 |
Real period |
R |
27.521863664483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001801 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702p4 25872co4 11088ca4 |
Quadratic twists by: -4 -3 -7 |