Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4884b |
Isogeny class |
Conductor |
4884 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
11221810668288 = 28 · 37 · 114 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11+ 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13156,562408] |
[a1,a2,a3,a4,a6] |
j |
983758169579344/43835197923 |
j-invariant |
L |
2.1309911165372 |
L(r)(E,1)/r! |
Ω |
0.71033037217907 |
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 |
19536bg2 78144bq2 14652g2 122100s2 |
Quadratic twists by: -4 8 -3 5 |