Atkin-Lehner |
3- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8487h |
Isogeny class |
Conductor |
8487 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
2.235910445251E+20 |
Discriminant |
Eigenvalues |
0 3- -3 1 0 -4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3286074,-2176995713] |
[a1,a2,a3,a4,a6] |
Generators |
[-5293885:52167884:4913] |
Generators of the group modulo torsion |
j |
5383047368354294628352/306709251749102421 |
j-invariant |
L |
2.6046794501876 |
L(r)(E,1)/r! |
Ω |
0.11253083873146 |
Real period |
R |
11.573180647855 |
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 |
2829c1 |
Quadratic twists by: -3 |