Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144by |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-325214152768512 = -1 · 210 · 36 · 77 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26019,1833678] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:1764:1] |
Generators of the group modulo torsion |
j |
-22180932/3703 |
j-invariant |
L |
8.3153176746426 |
L(r)(E,1)/r! |
Ω |
0.52233798200547 |
Real period |
R |
1.9899274894616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9016a1 11592o1 |
Quadratic twists by: -3 -7 |