Atkin-Lehner |
2+ 3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12090n |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-19065601152000 = -1 · 210 · 37 · 53 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -1 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5806,-122524] |
[a1,a2,a3,a4,a6] |
Generators |
[141:-1943:1] |
Generators of the group modulo torsion |
j |
21650220735939431/19065601152000 |
j-invariant |
L |
3.4361903813445 |
L(r)(E,1)/r! |
Ω |
0.37778077954015 |
Real period |
R |
0.21656489988258 |
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 |
96720bt1 36270ca1 60450br1 |
Quadratic twists by: -4 -3 5 |