Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090bc |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
73074239078400 = 220 · 33 · 52 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11573,248781] |
[a1,a2,a3,a4,a6] |
Generators |
[15:272:1] |
Generators of the group modulo torsion |
j |
6348375775125747/2706453299200 |
j-invariant |
L |
7.5692852101813 |
L(r)(E,1)/r! |
Ω |
0.5544461208243 |
Real period |
R |
0.17064970169978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27090d1 |
Quadratic twists by: -3 |