Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
27552n |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3526656 = -1 · 212 · 3 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -2 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5825,173073] |
[a1,a2,a3,a4,a6] |
Generators |
[43:16:1] |
Generators of the group modulo torsion |
j |
-5337355226176/861 |
j-invariant |
L |
4.714108089192 |
L(r)(E,1)/r! |
Ω |
1.9610601115933 |
Real period |
R |
1.2019285031915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27552z1 55104cx1 82656f1 |
Quadratic twists by: -4 8 -3 |