Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712a |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1326708523008 = 215 · 39 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19980,1085616] |
[a1,a2,a3,a4,a6] |
Generators |
[100:296:1] |
Generators of the group modulo torsion |
j |
1367631000/2057 |
j-invariant |
L |
5.8570087493563 |
L(r)(E,1)/r! |
Ω |
0.85687298047716 |
Real period |
R |
3.4176645191351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999723267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712k2 53856c2 107712q2 |
Quadratic twists by: -4 8 -3 |