Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090l |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
30950400 = 210 · 3 · 52 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-79,2] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
53540005609/30950400 |
j-invariant |
L |
3.8625882311955 |
L(r)(E,1)/r! |
Ω |
1.769440327582 |
Real period |
R |
2.1829434827417 |
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 |
96720bd1 36270bx1 60450ce1 |
Quadratic twists by: -4 -3 5 |