Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560ck |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-50540000000000000 = -1 · 214 · 513 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9099,10814099] |
[a1,a2,a3,a4,a6] |
Generators |
[-25190438:2438789137:753571] |
Generators of the group modulo torsion |
j |
5084368707584/3084716796875 |
j-invariant |
L |
7.441348034687 |
L(r)(E,1)/r! |
Ω |
0.27747346192402 |
Real period |
R |
13.409116646848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560g1 10640bc1 |
Quadratic twists by: -4 8 |