Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cv |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-29698101624012800 = -1 · 215 · 52 · 114 · 195 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11+ 7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1090145,-437816543] |
[a1,a2,a3,a4,a6] |
Generators |
[1497:35816:1] |
Generators of the group modulo torsion |
j |
-4372471397265580232/906314136475 |
j-invariant |
L |
4.3638742916545 |
L(r)(E,1)/r! |
Ω |
0.073874245538282 |
Real period |
R |
3.6919787300224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66880dr1 33440h1 |
Quadratic twists by: -4 8 |