Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050x |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6726562500 = 22 · 3 · 59 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-57400001,-167389560352] |
[a1,a2,a3,a4,a6] |
j |
1338564722556322122624001/430500 |
j-invariant |
L |
1.7551795851298 |
L(r)(E,1)/r! |
Ω |
0.054849362038551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150dg4 8610m3 |
Quadratic twists by: -3 5 |