Atkin-Lehner |
3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96387k |
Isogeny class |
Conductor |
96387 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27820800 |
Modular degree for the optimal curve |
Δ |
-5671366793739819 = -1 · 32 · 197 · 893 |
Discriminant |
Eigenvalues |
-1 3- 3 4 -5 1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2205869389,39876387037556] |
[a1,a2,a3,a4,a6] |
Generators |
[55548657635:-26516846563:2048383] |
Generators of the group modulo torsion |
j |
-25231408121333628493036057/120549699 |
j-invariant |
L |
7.5352765236014 |
L(r)(E,1)/r! |
Ω |
0.13983238196255 |
Real period |
R |
13.471980556013 |
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 |
5073d1 |
Quadratic twists by: -19 |