Atkin-Lehner |
2+ 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050l |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-6460190625000 = -1 · 23 · 3 · 58 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151,-122302] |
[a1,a2,a3,a4,a6] |
j |
-24137569/413452200 |
j-invariant |
L |
0.68512495121156 |
L(r)(E,1)/r! |
Ω |
0.34256247565757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150ct1 8610l1 |
Quadratic twists by: -3 5 |