Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cs |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1234051200 = -1 · 27 · 36 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 3 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,242,971] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:27:1] |
Generators of the group modulo torsion |
j |
118484615/93312 |
j-invariant |
L |
8.5834719412897 |
L(r)(E,1)/r! |
Ω |
0.98673185259424 |
Real period |
R |
0.62134929287094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350bv1 79350cq1 |
Quadratic twists by: 5 -23 |