Atkin-Lehner |
2- 3+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478by |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1102950762932256168 = 23 · 3 · 76 · 198 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-277292,-24723931] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:4249:1] |
Generators of the group modulo torsion |
j |
20042301472793137/9374926798632 |
j-invariant |
L |
10.093617486814 |
L(r)(E,1)/r! |
Ω |
0.21769001214643 |
Real period |
R |
3.8639108303885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999760696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2622e4 |
Quadratic twists by: -7 |