Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7942o |
Isogeny class |
Conductor |
7942 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
65060864 = 214 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 0 -3 3 11+ -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-334,2397] |
[a1,a2,a3,a4,a6] |
Generators |
[9:3:1] |
Generators of the group modulo torsion |
j |
11382465033/180224 |
j-invariant |
L |
5.4342517862882 |
L(r)(E,1)/r! |
Ω |
1.9648477630919 |
Real period |
R |
0.19755262935329 |
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 |
63536bl1 71478bg1 87362m1 7942a1 |
Quadratic twists by: -4 -3 -11 -19 |