Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12012g |
Isogeny class |
Conductor |
12012 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-100690926336 = -1 · 28 · 36 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,923,11111] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:66:1] |
Generators of the group modulo torsion |
j |
339326861312/393323931 |
j-invariant |
L |
4.6602550705626 |
L(r)(E,1)/r! |
Ω |
0.70919259595696 |
Real period |
R |
0.54760102041042 |
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 |
48048bo1 36036p1 84084g1 |
Quadratic twists by: -4 -3 -7 |