Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712y |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
330127535197126656 = 225 · 314 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-808846284,8854154695280] |
[a1,a2,a3,a4,a6] |
j |
306234591284035366263793/1727485056 |
j-invariant |
L |
5.3216308984347 |
L(r)(E,1)/r! |
Ω |
0.14782309422001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712en4 3366j3 35904w4 |
Quadratic twists by: -4 8 -3 |