Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296z |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-25238217859006464 = -1 · 222 · 36 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14676,7612720] |
[a1,a2,a3,a4,a6] |
Generators |
[278:5760:1] |
Generators of the group modulo torsion |
j |
1829276567/132066064 |
j-invariant |
L |
10.331587628642 |
L(r)(E,1)/r! |
Ω |
0.2881099407215 |
Real period |
R |
2.2412424330548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296cz2 3978h2 14144o2 |
Quadratic twists by: -4 8 -3 |