Atkin-Lehner |
2- 3- 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
42420d |
Isogeny class |
Conductor |
42420 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
14761165781250000 = 24 · 33 · 510 · 73 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31489445,-68024075400] |
[a1,a2,a3,a4,a6] |
j |
215823515366368104426766336/922572861328125 |
j-invariant |
L |
0.95598166095384 |
L(r)(E,1)/r! |
Ω |
0.063732110736772 |
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 |
127260e1 |
Quadratic twists by: -3 |