Atkin-Lehner |
2- 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
74366f |
Isogeny class |
Conductor |
74366 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
45214528 = 26 · 193 · 103 |
Discriminant |
Eigenvalues |
2- 1 0 1 6 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-93,113] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:23:1] |
Generators of the group modulo torsion |
j |
12977875/6592 |
j-invariant |
L |
12.410600490817 |
L(r)(E,1)/r! |
Ω |
1.7854785853548 |
Real period |
R |
0.57923781106956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74366a1 |
Quadratic twists by: -19 |