Atkin-Lehner |
2+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32096b |
Isogeny class |
Conductor |
32096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-315375296 = -1 · 26 · 174 · 59 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 4 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-242,-1604] |
[a1,a2,a3,a4,a6] |
Generators |
[20:34:1] [27:104:1] |
Generators of the group modulo torsion |
j |
-24591397312/4927739 |
j-invariant |
L |
5.9161843650075 |
L(r)(E,1)/r! |
Ω |
0.59855447530064 |
Real period |
R |
1.2355150218443 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32096c1 64192cq1 |
Quadratic twists by: -4 8 |