Atkin-Lehner |
2- 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7998i |
Isogeny class |
Conductor |
7998 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-209899512 = -1 · 23 · 39 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -6 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,122,476] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:16:1] |
Generators of the group modulo torsion |
j |
200715401375/209899512 |
j-invariant |
L |
7.3986906087275 |
L(r)(E,1)/r! |
Ω |
1.1764260430861 |
Real period |
R |
2.0963750483112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63984p1 23994m1 |
Quadratic twists by: -4 -3 |