Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9570p |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
746888736000 = 28 · 3 · 53 · 11 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5632018,-5144980444] |
[a1,a2,a3,a4,a6] |
Generators |
[2790:27952:1] |
Generators of the group modulo torsion |
j |
19756759069024623752071321/746888736000 |
j-invariant |
L |
4.26917126351 |
L(r)(E,1)/r! |
Ω |
0.098001687830952 |
Real period |
R |
7.2603703024553 |
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 |
76560bn4 28710bb4 47850cb4 105270cg4 |
Quadratic twists by: -4 -3 5 -11 |