Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712a |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
256295964672 = 212 · 39 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1620,6048] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:136:1] |
Generators of the group modulo torsion |
j |
5832000/3179 |
j-invariant |
L |
5.8570087493563 |
L(r)(E,1)/r! |
Ω |
0.85687298047716 |
Real period |
R |
1.7088322595675 |
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 |
107712k1 53856c1 107712q1 |
Quadratic twists by: -4 8 -3 |