Atkin-Lehner |
3- 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
99975n |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-227755546875 = -1 · 37 · 57 · 31 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5+ -5 -1 3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,992,19894] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:13:1] [-7:-113:1] |
Generators of the group modulo torsion |
j |
6902411264/14576355 |
j-invariant |
L |
6.138639022543 |
L(r)(E,1)/r! |
Ω |
0.68821527022208 |
Real period |
R |
0.31855891244054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999973107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19995f1 |
Quadratic twists by: 5 |