Atkin-Lehner |
2+ 3- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
63960h |
Isogeny class |
Conductor |
63960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-589086950400 = -1 · 210 · 34 · 52 · 132 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,840,36000] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:156:1] |
Generators of the group modulo torsion |
j |
63935857436/575280225 |
j-invariant |
L |
8.5423314423429 |
L(r)(E,1)/r! |
Ω |
0.67238997293519 |
Real period |
R |
0.79402688415051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920n2 |
Quadratic twists by: -4 |