Atkin-Lehner |
2+ 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7752b |
Isogeny class |
Conductor |
7752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
106560 |
Modular degree for the optimal curve |
Δ |
-4745929688064 = -1 · 210 · 315 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 -2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4113224,-3209491428] |
[a1,a2,a3,a4,a6] |
Generators |
[6867023692347452354195442:1836261532572254015126782796:95957237724882031233] |
Generators of the group modulo torsion |
j |
-7515726102379506456868/4634696961 |
j-invariant |
L |
4.3282966426393 |
L(r)(E,1)/r! |
Ω |
0.053005869121857 |
Real period |
R |
40.828465925998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15504g1 62016bk1 23256l1 |
Quadratic twists by: -4 8 -3 |