Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20064i |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
128 |
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 |
[126308:5582181:64] |
Generators of the group modulo torsion |
j |
-13899130898066504/6268068039321 |
j-invariant |
L |
7.9600319984747 |
L(r)(E,1)/r! |
Ω |
0.16511868027501 |
Real period |
R |
6.0259929291594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20064q4 40128h3 60192q2 |
Quadratic twists by: -4 8 -3 |