Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560dj |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-5213600000000000 = -1 · 214 · 511 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 2 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,43268,260944] |
[a1,a2,a3,a4,a6] |
Generators |
[38:1400:1] |
Generators of the group modulo torsion |
j |
546769443677616/318212890625 |
j-invariant |
L |
4.1048051768181 |
L(r)(E,1)/r! |
Ω |
0.25955648421741 |
Real period |
R |
0.11980825294782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560ba1 10640q1 |
Quadratic twists by: -4 8 |