Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74366g |
Isogeny class |
Conductor |
74366 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
37932341116204 = 22 · 197 · 1032 |
Discriminant |
Eigenvalues |
2- 0 -2 4 2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-145551,21407531] |
[a1,a2,a3,a4,a6] |
Generators |
[606333:-25240496:343] |
Generators of the group modulo torsion |
j |
7248445699977/806284 |
j-invariant |
L |
10.014928774934 |
L(r)(E,1)/r! |
Ω |
0.62287652607531 |
Real period |
R |
8.0392568637713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3914a2 |
Quadratic twists by: -19 |