Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712k |
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 |
[-26:136:1] [-8:80:1] |
Generators of the group modulo torsion |
j |
5832000/3179 |
j-invariant |
L |
11.708724899085 |
L(r)(E,1)/r! |
Ω |
0.80319298928177 |
Real period |
R |
3.6444307459241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712a1 53856p1 107712e1 |
Quadratic twists by: -4 8 -3 |