Atkin-Lehner |
2+ 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050n |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-15014038626562500 = -1 · 22 · 314 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18001,5966648] |
[a1,a2,a3,a4,a6] |
Generators |
[22:2351:1] [-167:2162:1] |
Generators of the group modulo torsion |
j |
-41281826100481/960898472100 |
j-invariant |
L |
7.6802178561048 |
L(r)(E,1)/r! |
Ω |
0.33053204349005 |
Real period |
R |
0.41492723665259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cw2 8610n2 |
Quadratic twists by: -3 5 |