Atkin-Lehner |
3+ 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
51675o |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
29952000 |
Modular degree for the optimal curve |
Δ |
1.6268139442696E+28 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 -1 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2477248833,-47057996836807] |
[a1,a2,a3,a4,a6] |
Generators |
[22949031:3193812616:343] |
Generators of the group modulo torsion |
j |
4304003096318814039778263040/41646436973300998936773 |
j-invariant |
L |
3.9675899257615 |
L(r)(E,1)/r! |
Ω |
0.021412177986448 |
Real period |
R |
7.7206647081825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51675p1 |
Quadratic twists by: 5 |