Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160bf |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-6377488515072000 = -1 · 223 · 310 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -5 -3 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5037,3839762] |
[a1,a2,a3,a4,a6] |
Generators |
[94:2268:1] |
Generators of the group modulo torsion |
j |
4733169839/2135808000 |
j-invariant |
L |
5.9265038481374 |
L(r)(E,1)/r! |
Ω |
0.32904965599748 |
Real period |
R |
4.5027427763301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9270f1 24720n1 |
Quadratic twists by: -4 -3 |