Atkin-Lehner |
2+ 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9570g |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-66490637400 = -1 · 23 · 33 · 52 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,786,9112] |
[a1,a2,a3,a4,a6] |
Generators |
[20:171:1] |
Generators of the group modulo torsion |
j |
53800384675751/66490637400 |
j-invariant |
L |
3.063752832682 |
L(r)(E,1)/r! |
Ω |
0.73770494367313 |
Real period |
R |
0.69218117147377 |
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 |
76560bf2 28710br2 47850bv2 105270bv2 |
Quadratic twists by: -4 -3 5 -11 |