Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470d |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
195638625000 = 23 · 33 · 56 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2625,-46539] |
[a1,a2,a3,a4,a6] |
Generators |
[63:156:1] |
Generators of the group modulo torsion |
j |
438484480083/42875000 |
j-invariant |
L |
4.1762151913895 |
L(r)(E,1)/r! |
Ω |
0.67116857105587 |
Real period |
R |
1.5555761180716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999761758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470dp2 106470dt1 |
Quadratic twists by: -3 13 |