Atkin-Lehner |
2+ 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32752a |
Isogeny class |
Conductor |
32752 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31200 |
Modular degree for the optimal curve |
Δ |
-2054933877232 = -1 · 24 · 23 · 895 |
Discriminant |
Eigenvalues |
2+ 0 0 1 4 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1525,65049] |
[a1,a2,a3,a4,a6] |
Generators |
[64776:3173203:27] |
Generators of the group modulo torsion |
j |
24513948000000/128433367327 |
j-invariant |
L |
5.9516666707834 |
L(r)(E,1)/r! |
Ω |
0.59568478809858 |
Real period |
R |
9.9913020941511 |
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 |
16376b1 |
Quadratic twists by: -4 |