Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cz |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
1369702400 = 218 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,2175] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:64:1] |
Generators of the group modulo torsion |
j |
24137569/5225 |
j-invariant |
L |
3.8004432859133 |
L(r)(E,1)/r! |
Ω |
1.4363894521642 |
Real period |
R |
1.3229153417045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bv1 16720z1 |
Quadratic twists by: -4 8 |