Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
32160i |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
75375000000000 = 29 · 32 · 512 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11640,239400] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1560:1] |
Generators of the group modulo torsion |
j |
340682638495688/147216796875 |
j-invariant |
L |
7.8002047381067 |
L(r)(E,1)/r! |
Ω |
0.55225971520287 |
Real period |
R |
4.7080534293189 |
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 |
32160r3 64320c3 96480x3 |
Quadratic twists by: -4 8 -3 |