Atkin-Lehner |
2- 3+ 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990ba |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-1202631300 = -1 · 22 · 39 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -3 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83,-1673] |
[a1,a2,a3,a4,a6] |
Generators |
[43:248:1] |
Generators of the group modulo torsion |
j |
-3176523/61100 |
j-invariant |
L |
6.0013651406476 |
L(r)(E,1)/r! |
Ω |
0.66265487925584 |
Real period |
R |
1.1320683904207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54990c1 |
Quadratic twists by: -3 |