Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9570p |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-2149481812500000000 = -1 · 28 · 34 · 512 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-314898,-98014172] |
[a1,a2,a3,a4,a6] |
Generators |
[829:14105:1] |
Generators of the group modulo torsion |
j |
-3453277162736184076441/2149481812500000000 |
j-invariant |
L |
4.26917126351 |
L(r)(E,1)/r! |
Ω |
0.098001687830952 |
Real period |
R |
1.8150925756138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76560bn3 28710bb3 47850cb3 105270cg3 |
Quadratic twists by: -4 -3 5 -11 |