Atkin-Lehner |
2+ 3- 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990r |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-5739786595710 = -1 · 2 · 310 · 5 · 17 · 833 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29835,-1979429] |
[a1,a2,a3,a4,a6] |
Generators |
[3886:77239:8] |
Generators of the group modulo torsion |
j |
-4028862988528561/7873506990 |
j-invariant |
L |
4.0467932962712 |
L(r)(E,1)/r! |
Ω |
0.18160863957929 |
Real period |
R |
3.7138406718047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999960826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330y1 |
Quadratic twists by: -3 |