Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31768d |
Isogeny class |
Conductor |
31768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
2517142817024 = 28 · 11 · 197 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25631,1577570] |
[a1,a2,a3,a4,a6] |
Generators |
[77:246:1] |
Generators of the group modulo torsion |
j |
154617552/209 |
j-invariant |
L |
2.5980704197641 |
L(r)(E,1)/r! |
Ω |
0.81155755868761 |
Real period |
R |
3.2013384533875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63536f1 1672c1 |
Quadratic twists by: -4 -19 |