Atkin-Lehner |
2- 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
99540d |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-2407695418800 = -1 · 24 · 39 · 52 · 72 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4752,146529] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:395:1] |
Generators of the group modulo torsion |
j |
-37682675712/7645225 |
j-invariant |
L |
8.3655055846125 |
L(r)(E,1)/r! |
Ω |
0.78193206280724 |
Real period |
R |
0.89154224465954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999847652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99540b1 |
Quadratic twists by: -3 |