Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6570f |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
766324800 = 26 · 38 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-270,-1004] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:20:1] [-12:26:1] |
Generators of the group modulo torsion |
j |
2992209121/1051200 |
j-invariant |
L |
3.5919145446492 |
L(r)(E,1)/r! |
Ω |
1.2115719216781 |
Real period |
R |
0.74116824605736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52560v1 2190m1 32850bz1 |
Quadratic twists by: -4 -3 5 |