Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966br |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
204401420244 = 22 · 311 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -2 -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12947,569823] |
[a1,a2,a3,a4,a6] |
Generators |
[47:228:1] |
Generators of the group modulo torsion |
j |
391449897889/333396 |
j-invariant |
L |
9.81049334571 |
L(r)(E,1)/r! |
Ω |
0.99555800526498 |
Real period |
R |
2.4635664841351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322a1 105966q1 |
Quadratic twists by: -3 29 |