Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12054o |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15680 |
Modular degree for the optimal curve |
Δ |
-9926987322 = -1 · 2 · 3 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -3 -6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,121,-4756] |
[a1,a2,a3,a4,a6] |
Generators |
[4420:23967:125] |
Generators of the group modulo torsion |
j |
4913/246 |
j-invariant |
L |
5.1265788672144 |
L(r)(E,1)/r! |
Ω |
0.61746905561846 |
Real period |
R |
4.1512840364766 |
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 |
96432bh1 36162de1 12054j1 |
Quadratic twists by: -4 -3 -7 |