Atkin-Lehner |
2+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74176b |
Isogeny class |
Conductor |
74176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
318720 |
Modular degree for the optimal curve |
Δ |
-1267032456691712 = -1 · 223 · 195 · 61 |
Discriminant |
Eigenvalues |
2+ 1 4 -2 3 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16319,-1507553] |
[a1,a2,a3,a4,a6] |
Generators |
[10770081:142382720:79507] |
Generators of the group modulo torsion |
j |
1833318007919/4833345248 |
j-invariant |
L |
9.9970880254031 |
L(r)(E,1)/r! |
Ω |
0.24935679440933 |
Real period |
R |
10.022875102155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74176q1 2318e1 |
Quadratic twists by: -4 8 |