Atkin-Lehner |
2- 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328bh |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-185107120128 = -1 · 215 · 39 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4035,100802] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:432:1] [7:270:1] |
Generators of the group modulo torsion |
j |
-2433138625/61992 |
j-invariant |
L |
8.649604422293 |
L(r)(E,1)/r! |
Ω |
1.0086984530899 |
Real period |
R |
0.53593844100515 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166q1 13776d1 |
Quadratic twists by: -4 -3 |