Atkin-Lehner |
2+ 3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46920j |
Isogeny class |
Conductor |
46920 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
5472748800 = 28 · 37 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-441,-405] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-90:1] [-18:45:1] |
Generators of the group modulo torsion |
j |
37135043584/21377925 |
j-invariant |
L |
9.6790385912277 |
L(r)(E,1)/r! |
Ω |
1.1336312138038 |
Real period |
R |
0.15246578670273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93840d1 |
Quadratic twists by: -4 |