Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592r |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17513023537152 = 218 · 33 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-239878131,1429993614514] |
[a1,a2,a3,a4,a6] |
j |
13802951728468271053322091/158357056 |
j-invariant |
L |
0.95261997789553 |
L(r)(E,1)/r! |
Ω |
0.23815499447388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2574b2 82368dh2 20592w2 |
Quadratic twists by: -4 8 -3 |