Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960ds |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-720147242233440000 = -1 · 28 · 38 · 54 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37060,-40933600] |
[a1,a2,a3,a4,a6] |
j |
-186906097744/23910744375 |
j-invariant |
L |
4.0538324412614 |
L(r)(E,1)/r! |
Ω |
0.12668226348009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280bf1 |
Quadratic twists by: -7 |