Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6570s |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
7856026582500 = 22 · 316 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10013,-358783] |
[a1,a2,a3,a4,a6] |
Generators |
[5763:434518:1] |
Generators of the group modulo torsion |
j |
152281858840201/10776442500 |
j-invariant |
L |
5.4994102810091 |
L(r)(E,1)/r! |
Ω |
0.4793961582117 |
Real period |
R |
2.8678839967782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52560p1 2190f1 32850v1 |
Quadratic twists by: -4 -3 5 |