Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712d |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4915200 |
Modular degree for the optimal curve |
Δ |
6.5716301373693E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5350668,-4747879440] |
[a1,a2,a3,a4,a6] |
Generators |
[-198069281773490:-163913831894720:155460517633] |
Generators of the group modulo torsion |
j |
2393558463315519963/9284733153971 |
j-invariant |
L |
8.6023395752983 |
L(r)(E,1)/r! |
Ω |
0.099288484455559 |
Real period |
R |
21.659962832013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712da1 1683c1 107712t1 |
Quadratic twists by: -4 8 -3 |