Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560cy |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3181349811900000000 = 28 · 3 · 58 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-492860,101680008] |
[a1,a2,a3,a4,a6] |
Generators |
[116232:636225:512] |
Generators of the group modulo torsion |
j |
4877139472/1171875 |
j-invariant |
L |
7.6811571254327 |
L(r)(E,1)/r! |
Ω |
0.23689227261265 |
Real period |
R |
8.1061710463588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10140i2 121680eg2 40560cl2 |
Quadratic twists by: -4 -3 13 |