Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090be |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-398223000 = -1 · 23 · 33 · 53 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,178,-331] |
[a1,a2,a3,a4,a6] |
Generators |
[3:13:1] |
Generators of the group modulo torsion |
j |
23222304477/14749000 |
j-invariant |
L |
9.5787314871118 |
L(r)(E,1)/r! |
Ω |
0.96778562682038 |
Real period |
R |
1.6495959472937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
27090b2 |
Quadratic twists by: -3 |