Atkin-Lehner |
2+ 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6570j |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-332606250 = -1 · 2 · 36 · 55 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 -4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,171,135] |
[a1,a2,a3,a4,a6] |
Generators |
[21:102:1] |
Generators of the group modulo torsion |
j |
756058031/456250 |
j-invariant |
L |
3.5381622533862 |
L(r)(E,1)/r! |
Ω |
1.0503021017103 |
Real period |
R |
0.33687091053373 |
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 |
52560bf1 730h1 32850ca1 |
Quadratic twists by: -4 -3 5 |