Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16240q |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-334273575490355200 = -1 · 216 · 52 · 73 · 296 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-517440,146112512] |
[a1,a2,a3,a4,a6] |
Generators |
[9984:61568:27] |
Generators of the group modulo torsion |
j |
-3740628669743972161/81609759641200 |
j-invariant |
L |
7.3059796458561 |
L(r)(E,1)/r! |
Ω |
0.30412691505124 |
Real period |
R |
6.0056996637614 |
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 |
2030b3 64960bc3 81200bp3 113680ba3 |
Quadratic twists by: -4 8 5 -7 |