Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96320z |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-24657920000 = -1 · 217 · 54 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,-8225] |
[a1,a2,a3,a4,a6] |
Generators |
[45:260:1] |
Generators of the group modulo torsion |
j |
-48275138/188125 |
j-invariant |
L |
8.6334356038083 |
L(r)(E,1)/r! |
Ω |
0.49223985122756 |
Real period |
R |
2.1923853745967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96320bt1 12040e1 |
Quadratic twists by: -4 8 |