Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43316c |
Isogeny class |
Conductor |
43316 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
2772224 = 28 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -5 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] |
Generators of the group modulo torsion |
j |
1548288/221 |
j-invariant |
L |
2.9872006084332 |
L(r)(E,1)/r! |
Ω |
1.7618244944714 |
Real period |
R |
1.6955154260887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43316b1 |
Quadratic twists by: -7 |