Atkin-Lehner |
2- 3+ 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
42420a |
Isogeny class |
Conductor |
42420 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
31223989306616400 = 24 · 37 · 52 · 73 · 1014 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233045,-42381618] |
[a1,a2,a3,a4,a6] |
j |
87483260671136628736/1951499331663525 |
j-invariant |
L |
1.9582657104394 |
L(r)(E,1)/r! |
Ω |
0.2175850789428 |
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 |
127260h1 |
Quadratic twists by: -3 |