Atkin-Lehner |
2- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21328k |
Isogeny class |
Conductor |
21328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-917104 = -1 · 24 · 31 · 432 |
Discriminant |
Eigenvalues |
2- -2 3 3 0 -4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-194,979] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:43:1] |
Generators of the group modulo torsion |
j |
-50727753472/57319 |
j-invariant |
L |
4.8518144016378 |
L(r)(E,1)/r! |
Ω |
2.7866975766327 |
Real period |
R |
0.87053120552474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5332a1 85312z1 |
Quadratic twists by: -4 8 |