Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
12120n |
Isogeny class |
Conductor |
12120 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-282735360 = -1 · 28 · 37 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,164,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] |
Generators of the group modulo torsion |
j |
1893932336/1104435 |
j-invariant |
L |
5.4492875655256 |
L(r)(E,1)/r! |
Ω |
1.0242371609896 |
Real period |
R |
0.19001206016236 |
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 |
24240a1 96960s1 36360g1 60600a1 |
Quadratic twists by: -4 8 -3 5 |