Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7942q |
Isogeny class |
Conductor |
7942 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
-2935871488 = -1 · 211 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 0 -4 -4 11- 7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,293,1675] |
[a1,a2,a3,a4,a6] |
Generators |
[43:282:1] |
Generators of the group modulo torsion |
j |
21414159/22528 |
j-invariant |
L |
4.1885935440037 |
L(r)(E,1)/r! |
Ω |
0.94472665364346 |
Real period |
R |
0.13435322968978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63536l1 71478l1 87362c1 7942i1 |
Quadratic twists by: -4 -3 -11 -19 |