Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7644k |
Isogeny class |
Conductor |
7644 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
24666759936 = 28 · 32 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23732,-1415100] |
[a1,a2,a3,a4,a6] |
Generators |
[4800:3430:27] |
Generators of the group modulo torsion |
j |
49081386832/819 |
j-invariant |
L |
5.6711531066967 |
L(r)(E,1)/r! |
Ω |
0.38464924080592 |
Real period |
R |
4.9145667490156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30576cd2 122304y2 22932x2 1092d2 |
Quadratic twists by: -4 8 -3 -7 |