Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560bt |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-42560 = -1 · 26 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 2 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,10] |
[a1,a2,a3,a4,a6] |
j |
-64/665 |
j-invariant |
L |
2.8906796827139 |
L(r)(E,1)/r! |
Ω |
2.890679682721 |
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 |
42560y1 21280s1 |
Quadratic twists by: -4 8 |