Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090ba |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-367777800 = -1 · 23 · 33 · 52 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,124,-744] |
[a1,a2,a3,a4,a6] |
Generators |
[6:12:1] |
Generators of the group modulo torsion |
j |
210751100351/367777800 |
j-invariant |
L |
7.690617035693 |
L(r)(E,1)/r! |
Ω |
0.89113289619086 |
Real period |
R |
1.4383595437086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96720bk1 36270z1 60450e1 |
Quadratic twists by: -4 -3 5 |