Atkin-Lehner |
3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129591r |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2535041689519074813 = -1 · 312 · 7 · 119 · 172 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11+ -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,332667,-20430954] |
[a1,a2,a3,a4,a6] |
Generators |
[127494:16041321:8] |
Generators of the group modulo torsion |
j |
2368593037/1474767 |
j-invariant |
L |
4.9380544264563 |
L(r)(E,1)/r! |
Ω |
0.14815245995358 |
Real period |
R |
8.3327243520928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999654636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43197n2 129591h2 |
Quadratic twists by: -3 -11 |