Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20064q |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3209250836132352 = -1 · 29 · 34 · 118 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40072,4131832] |
[a1,a2,a3,a4,a6] |
Generators |
[2138:28215:8] |
Generators of the group modulo torsion |
j |
-13899130898066504/6268068039321 |
j-invariant |
L |
3.8330710640269 |
L(r)(E,1)/r! |
Ω |
0.41895144003308 |
Real period |
R |
4.5746006550595 |
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 |
20064i4 40128ba3 60192j2 |
Quadratic twists by: -4 8 -3 |