Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80496z |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
543282315264 = 214 · 33 · 134 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -2 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5451,-150790] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:64:1] |
Generators of the group modulo torsion |
j |
161967748851/4912492 |
j-invariant |
L |
4.2483446249327 |
L(r)(E,1)/r! |
Ω |
0.55665545187469 |
Real period |
R |
1.9079776416221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10062h1 80496x1 |
Quadratic twists by: -4 -3 |