Atkin-Lehner |
2- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
43550t |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
459996875000000 = 26 · 511 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -2 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-912355,335650147] |
[a1,a2,a3,a4,a6] |
Generators |
[79:16210:1] |
Generators of the group modulo torsion |
j |
5375202242262578361/29439800000 |
j-invariant |
L |
7.6050878023972 |
L(r)(E,1)/r! |
Ω |
0.46768269412578 |
Real period |
R |
0.22585017749083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710f1 |
Quadratic twists by: 5 |