Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680dv |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
73164072960000 = 214 · 310 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118812,15757616] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1584:1] |
Generators of the group modulo torsion |
j |
15529488955216/6125625 |
j-invariant |
L |
6.628716551845 |
L(r)(E,1)/r! |
Ω |
0.603495054246 |
Real period |
R |
1.3729848540612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31680bf2 7920d2 10560bh2 |
Quadratic twists by: -4 8 -3 |