Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640df |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-10220973465600000 = -1 · 216 · 35 · 55 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -6 3 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45665,-6160737] |
[a1,a2,a3,a4,a6] |
Generators |
[1231:-42480:1] |
Generators of the group modulo torsion |
j |
-160695486160996/155959678125 |
j-invariant |
L |
7.7179196967261 |
L(r)(E,1)/r! |
Ω |
0.15709285996677 |
Real period |
R |
0.16376555238978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640k1 14160a1 |
Quadratic twists by: -4 8 |