Atkin-Lehner |
2+ 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
80496q |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
88699326753024 = 28 · 38 · 134 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87231,-9906050] |
[a1,a2,a3,a4,a6] |
Generators |
[666:15080:1] |
Generators of the group modulo torsion |
j |
393340596472528/475283601 |
j-invariant |
L |
5.3402490616553 |
L(r)(E,1)/r! |
Ω |
0.27781990095566 |
Real period |
R |
4.8054954350746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969929 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40248u2 26832j2 |
Quadratic twists by: -4 -3 |