Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640by |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
8818933760 = 214 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-923,9802] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:112:1] |
Generators of the group modulo torsion |
j |
9663597/980 |
j-invariant |
L |
3.9395326949208 |
L(r)(E,1)/r! |
Ω |
1.2648208178629 |
Real period |
R |
0.77867406739065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830r1 94640dh1 |
Quadratic twists by: -4 13 |