Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72864z |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-21990792384 = -1 · 26 · 310 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-489,-8260] |
[a1,a2,a3,a4,a6] |
Generators |
[703:18630:1] |
Generators of the group modulo torsion |
j |
-277167808/471339 |
j-invariant |
L |
7.7386013215853 |
L(r)(E,1)/r! |
Ω |
0.47980794791513 |
Real period |
R |
4.032134812468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72864o1 24288g1 |
Quadratic twists by: -4 -3 |