Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784cx |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-737753891906304 = -1 · 28 · 38 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -6 13+ -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61741,6027191] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:3042:1] [-73:3186:1] |
Generators of the group modulo torsion |
j |
-21064523776/597051 |
j-invariant |
L |
10.975566857212 |
L(r)(E,1)/r! |
Ω |
0.50489452823797 |
Real period |
R |
0.33966149869455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14196a1 4368u1 |
Quadratic twists by: -4 13 |