Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050i |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-12563843329406250 = -1 · 2 · 35 · 56 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -1 4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82400,10547250] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:4395:1] |
Generators of the group modulo torsion |
j |
-3959985141923329/804085973082 |
j-invariant |
L |
4.0656140875046 |
L(r)(E,1)/r! |
Ω |
0.38314700724121 |
Real period |
R |
0.58950597299934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150dc1 1722p1 |
Quadratic twists by: -3 5 |