Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12060a |
Isogeny class |
Conductor |
12060 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-157478592480480000 = -1 · 28 · 36 · 54 · 675 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58872,-19868636] |
[a1,a2,a3,a4,a6] |
j |
-120915670441984/843828191875 |
j-invariant |
L |
3.2642804327927 |
L(r)(E,1)/r! |
Ω |
0.1360116846997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48240cb1 1340b1 60300i1 |
Quadratic twists by: -4 -3 5 |