Atkin-Lehner |
2+ 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832c |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
193136689152 = 219 · 32 · 11 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7265,239841] |
[a1,a2,a3,a4,a6] |
Generators |
[41:96:1] |
Generators of the group modulo torsion |
j |
161789533849/736758 |
j-invariant |
L |
3.1317847118585 |
L(r)(E,1)/r! |
Ω |
1.0122643451569 |
Real period |
R |
0.77346018204677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000169618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832bn2 4026e2 |
Quadratic twists by: -4 8 |