Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054bl |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6541408149806544 = -1 · 24 · 3 · 711 · 413 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 -3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,45079,1257129] |
[a1,a2,a3,a4,a6] |
Generators |
[4476:96203:27] |
Generators of the group modulo torsion |
j |
86110813111679/55601051856 |
j-invariant |
L |
7.804082467123 |
L(r)(E,1)/r! |
Ω |
0.26353309592135 |
Real period |
R |
0.61694357905968 |
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 |
96432bp1 36162p1 1722h1 |
Quadratic twists by: -4 -3 -7 |