Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560f |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1281828208640 = -1 · 214 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 2 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7761,271345] |
[a1,a2,a3,a4,a6] |
j |
-3155824042576/78236585 |
j-invariant |
L |
1.717450258562 |
L(r)(E,1)/r! |
Ω |
0.85872512925665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560cj1 2660d1 |
Quadratic twists by: -4 8 |