Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560bq |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4563000000000000 = -1 · 212 · 33 · 512 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51445,5560957] |
[a1,a2,a3,a4,a6] |
Generators |
[-156:3125:1] |
Generators of the group modulo torsion |
j |
-21752792449024/6591796875 |
j-invariant |
L |
5.7088696050928 |
L(r)(E,1)/r! |
Ω |
0.41199191120934 |
Real period |
R |
1.1547293061199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2535j2 121680dk2 40560bh2 |
Quadratic twists by: -4 -3 13 |