Atkin-Lehner |
2- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7942l |
Isogeny class |
Conductor |
7942 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-424928768 = -1 · 29 · 112 · 193 |
Discriminant |
Eigenvalues |
2- -1 -4 -1 11+ -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1480,21321] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:219:1] [45:-243:1] |
Generators of the group modulo torsion |
j |
-52271672419/61952 |
j-invariant |
L |
5.5602989111017 |
L(r)(E,1)/r! |
Ω |
1.6716398465564 |
Real period |
R |
0.092395947517508 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63536bd1 71478x1 87362f1 7942b1 |
Quadratic twists by: -4 -3 -11 -19 |