Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7728l |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
372499704819228672 = 213 · 324 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-204624,20243520] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:6726:1] |
Generators of the group modulo torsion |
j |
231331938231569617/90942310746882 |
j-invariant |
L |
3.0815179094168 |
L(r)(E,1)/r! |
Ω |
0.27427447383592 |
Real period |
R |
5.6175805686902 |
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 |
966i4 30912ch3 23184bz3 54096cs3 |
Quadratic twists by: -4 8 -3 -7 |