Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150cg |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-3452625000 = -1 · 23 · 34 · 56 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ -4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,87,2817] |
[a1,a2,a3,a4,a6] |
Generators |
[12:69:1] |
Generators of the group modulo torsion |
j |
4657463/220968 |
j-invariant |
L |
10.064495142135 |
L(r)(E,1)/r! |
Ω |
1.0688522971986 |
Real period |
R |
0.39234042472902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2046a1 |
Quadratic twists by: 5 |