Atkin-Lehner |
2+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27280j |
Isogeny class |
Conductor |
27280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
136400 = 24 · 52 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115,-438] |
[a1,a2,a3,a4,a6] |
j |
10603964416/8525 |
j-invariant |
L |
2.9138138207974 |
L(r)(E,1)/r! |
Ω |
1.4569069103987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640g1 109120x1 |
Quadratic twists by: -4 8 |