Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12054y |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-3261606754516992 = -1 · 233 · 33 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -5 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-72248,-7993735] |
[a1,a2,a3,a4,a6] |
Generators |
[965:28189:1] |
Generators of the group modulo torsion |
j |
-121592686950598375/9509057593344 |
j-invariant |
L |
5.6367766270133 |
L(r)(E,1)/r! |
Ω |
0.14495033644542 |
Real period |
R |
0.5892066797793 |
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 |
96432ci1 36162ba1 12054bk1 |
Quadratic twists by: -4 -3 -7 |