Atkin-Lehner |
2- 3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
42420c |
Isogeny class |
Conductor |
42420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
85688400 = 24 · 3 · 52 · 7 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141,-516] |
[a1,a2,a3,a4,a6] |
j |
19513606144/5355525 |
j-invariant |
L |
4.2396781888078 |
L(r)(E,1)/r! |
Ω |
1.413226062948 |
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 |
127260m1 |
Quadratic twists by: -3 |