Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680dc |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
32517365760000 = 216 · 38 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10668,323408] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:704:1] [-62:864:1] |
Generators of the group modulo torsion |
j |
2810381476/680625 |
j-invariant |
L |
7.4237344294078 |
L(r)(E,1)/r! |
Ω |
0.61695005052948 |
Real period |
R |
3.0082396553163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31680p2 7920p2 10560bw2 |
Quadratic twists by: -4 8 -3 |