Atkin-Lehner |
2- 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
27060j |
Isogeny class |
Conductor |
27060 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
4437840 = 24 · 3 · 5 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41,0] |
[a1,a2,a3,a4,a6] |
Generators |
[9:21:1] |
Generators of the group modulo torsion |
j |
488095744/277365 |
j-invariant |
L |
6.3648176495489 |
L(r)(E,1)/r! |
Ω |
2.1077273483616 |
Real period |
R |
2.0131691936646 |
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 |
108240t1 81180j1 |
Quadratic twists by: -4 -3 |