Atkin-Lehner |
2+ 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
32944b |
Isogeny class |
Conductor |
32944 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-443294464 = -1 · 28 · 293 · 71 |
Discriminant |
Eigenvalues |
2+ -2 -1 -2 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79,1003] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:29:1] [54:407:1] |
Generators of the group modulo torsion |
j |
210308096/1731619 |
j-invariant |
L |
5.9264336150643 |
L(r)(E,1)/r! |
Ω |
1.2212471407547 |
Real period |
R |
1.617590580779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16472b1 |
Quadratic twists by: -4 |