Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470g |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-151089644143620 = -1 · 22 · 33 · 5 · 73 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71265,7364241] |
[a1,a2,a3,a4,a6] |
j |
-1817378667/6860 |
j-invariant |
L |
2.3228686428435 |
L(r)(E,1)/r! |
Ω |
0.58071713238452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
106470du2 106470dq1 |
Quadratic twists by: -3 13 |