Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050o |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-283890961915312500 = -1 · 22 · 38 · 57 · 72 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,59749,-25006102] |
[a1,a2,a3,a4,a6] |
Generators |
[237:1456:1] |
Generators of the group modulo torsion |
j |
1509753544356959/18169021562580 |
j-invariant |
L |
5.700806907441 |
L(r)(E,1)/r! |
Ω |
0.15153503379637 |
Real period |
R |
1.1756371539594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129150cn3 8610o4 |
Quadratic twists by: -3 5 |