Atkin-Lehner |
2+ 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32752c |
Isogeny class |
Conductor |
32752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2752 |
Modular degree for the optimal curve |
Δ |
-2914928 = -1 · 24 · 23 · 892 |
Discriminant |
Eigenvalues |
2+ -1 -2 -2 -2 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-89:8] [31:173:1] |
Generators of the group modulo torsion |
j |
313611008/182183 |
j-invariant |
L |
5.9863518697072 |
L(r)(E,1)/r! |
Ω |
1.5045969523236 |
Real period |
R |
1.9893539796365 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16376a1 |
Quadratic twists by: -4 |