Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
8460m |
Isogeny class |
Conductor |
8460 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
1096416000 = 28 · 36 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -5 5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-927,-10746] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:10:1] |
Generators of the group modulo torsion |
j |
472058064/5875 |
j-invariant |
L |
4.1031703689613 |
L(r)(E,1)/r! |
Ω |
0.86587760547865 |
Real period |
R |
0.52652686232883 |
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 |
33840cl1 940b1 42300s1 |
Quadratic twists by: -4 -3 5 |