Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032l |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
179864592187392 = 221 · 36 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20460,923312] |
[a1,a2,a3,a4,a6] |
Generators |
[38:448:1] |
Generators of the group modulo torsion |
j |
4956477625/941192 |
j-invariant |
L |
3.7706552954708 |
L(r)(E,1)/r! |
Ω |
0.5411295326252 |
Real period |
R |
0.58067663226247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4032z4 126a4 448c4 100800da4 |
Quadratic twists by: -4 8 -3 5 |