Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050t |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
367774804687500000 = 25 · 38 · 514 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1250901,537600448] |
[a1,a2,a3,a4,a6] |
j |
13853898649143943489/23537587500000 |
j-invariant |
L |
2.4148165120257 |
L(r)(E,1)/r! |
Ω |
0.30185206400633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cy4 8610j4 |
Quadratic twists by: -3 5 |