Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
6570bd |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-181499771520 = -1 · 27 · 36 · 5 · 733 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,868,17759] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2533:1] |
Generators of the group modulo torsion |
j |
99317171591/248970880 |
j-invariant |
L |
5.7208693867649 |
L(r)(E,1)/r! |
Ω |
0.70745377618108 |
Real period |
R |
0.19253720944235 |
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 |
52560bn1 730b1 32850o1 |
Quadratic twists by: -4 -3 5 |