Atkin-Lehner |
2- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
96278k |
Isogeny class |
Conductor |
96278 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-61147918618329088 = -1 · 230 · 72 · 133 · 232 |
Discriminant |
Eigenvalues |
2- -2 0 7+ -3 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-477813,127641889] |
[a1,a2,a3,a4,a6] |
Generators |
[466:-2729:1] [-174:14423:1] |
Generators of the group modulo torsion |
j |
-22805625144583890625/115591528579072 |
j-invariant |
L |
11.873141307514 |
L(r)(E,1)/r! |
Ω |
0.3523697143726 |
Real period |
R |
0.18719513472949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96278s1 |
Quadratic twists by: -23 |