Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
1032a |
Isogeny class |
Conductor |
1032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-1188864 = -1 · 210 · 33 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 3 -3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
1431644/1161 |
j-invariant |
L |
2.0744356718183 |
L(r)(E,1)/r! |
Ω |
1.5177695846515 |
Real period |
R |
0.68338293664472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2064c1 8256r1 3096h1 25800bg1 |
Quadratic twists by: -4 8 -3 5 |