Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9570o |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-348826500 = -1 · 22 · 37 · 53 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1128,14506] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-153:1] |
Generators of the group modulo torsion |
j |
-158524881613561/348826500 |
j-invariant |
L |
4.3547363877309 |
L(r)(E,1)/r! |
Ω |
1.7081464827072 |
Real period |
R |
0.060699829175979 |
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 |
76560bm1 28710ba1 47850ca1 105270ce1 |
Quadratic twists by: -4 -3 5 -11 |