Atkin-Lehner |
2+ 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
55776g |
Isogeny class |
Conductor |
55776 |
Conductor |
∏ cp |
8 |
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 |
[358:6762:1] |
Generators of the group modulo torsion |
j |
-830584000/26683587 |
j-invariant |
L |
5.9584607901381 |
L(r)(E,1)/r! |
Ω |
0.65006237852582 |
Real period |
R |
4.5829915613109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55776o1 111552bo2 |
Quadratic twists by: -4 8 |