Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
67760bl |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2318922713534873600 = 214 · 52 · 74 · 119 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-345616,27470016] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:9030:1] |
Generators of the group modulo torsion |
j |
472729139/240100 |
j-invariant |
L |
9.316555635894 |
L(r)(E,1)/r! |
Ω |
0.22869646450998 |
Real period |
R |
5.0922057630091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470q2 67760z2 |
Quadratic twists by: -4 -11 |