Atkin-Lehner |
2- 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55384g |
Isogeny class |
Conductor |
55384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-5838221505536 = -1 · 210 · 78 · 23 · 43 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 3 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2784,130204] |
[a1,a2,a3,a4,a6] |
Generators |
[454:9604:1] |
Generators of the group modulo torsion |
j |
-2331242411908/5701388189 |
j-invariant |
L |
3.3262022422131 |
L(r)(E,1)/r! |
Ω |
0.67088242379642 |
Real period |
R |
1.2394877717173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110768i1 |
Quadratic twists by: -4 |