Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040bc |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-49017960000000000 = -1 · 212 · 36 · 510 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,43188,-10076384] |
[a1,a2,a3,a4,a6] |
Generators |
[170:1476:1] [252:4100:1] |
Generators of the group modulo torsion |
j |
2983496371136/16416015625 |
j-invariant |
L |
9.7863419883337 |
L(r)(E,1)/r! |
Ω |
0.1791020497382 |
Real period |
R |
1.3660287532509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040ca2 118080bp1 6560i2 |
Quadratic twists by: -4 8 -3 |