Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7942p |
Isogeny class |
Conductor |
7942 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
95760 |
Modular degree for the optimal curve |
Δ |
1323846388676988044 = 22 · 117 · 198 |
Discriminant |
Eigenvalues |
2- 0 1 1 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-357097,60765917] |
[a1,a2,a3,a4,a6] |
Generators |
[-1442:88079:8] |
Generators of the group modulo torsion |
j |
296518892481/77948684 |
j-invariant |
L |
6.7230644607144 |
L(r)(E,1)/r! |
Ω |
0.25363681128637 |
Real period |
R |
0.63111092801752 |
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 |
63536k1 71478i1 87362b1 7942g1 |
Quadratic twists by: -4 -3 -11 -19 |