Atkin-Lehner |
2- 3- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
95976r |
Isogeny class |
Conductor |
95976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
1259397072 = 24 · 310 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4026,98309] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:162:1] [10:243:1] |
Generators of the group modulo torsion |
j |
618724784128/107973 |
j-invariant |
L |
8.7919885730561 |
L(r)(E,1)/r! |
Ω |
1.4843891172687 |
Real period |
R |
2.9614837750623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996762 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31992c1 |
Quadratic twists by: -3 |