Atkin-Lehner |
2+ 3- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63984m |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
15548112 = 24 · 36 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -6 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-435,-3636] |
[a1,a2,a3,a4,a6] |
Generators |
[24:18:1] |
Generators of the group modulo torsion |
j |
570255517696/971757 |
j-invariant |
L |
3.3382753175857 |
L(r)(E,1)/r! |
Ω |
1.0452941654009 |
Real period |
R |
2.1290818908846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31992h1 |
Quadratic twists by: -4 |