Atkin-Lehner |
2- 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
55776o |
Isogeny class |
Conductor |
55776 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-1707749568 = -1 · 26 · 38 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78,1980] |
[a1,a2,a3,a4,a6] |
Generators |
[6:42:1] |
Generators of the group modulo torsion |
j |
-830584000/26683587 |
j-invariant |
L |
7.1754109846508 |
L(r)(E,1)/r! |
Ω |
1.2461406578927 |
Real period |
R |
0.71976334885931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55776g1 111552k2 |
Quadratic twists by: -4 8 |