Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880bh |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
476160 |
Modular degree for the optimal curve |
Δ |
1011560000000000 = 212 · 510 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 11+ 2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25385,-277783] |
[a1,a2,a3,a4,a6] |
Generators |
[169:480:1] |
Generators of the group modulo torsion |
j |
441684720404416/246962890625 |
j-invariant |
L |
12.168063074823 |
L(r)(E,1)/r! |
Ω |
0.4062494331119 |
Real period |
R |
2.995219705613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bq1 33440y1 |
Quadratic twists by: -4 8 |