Atkin-Lehner |
2+ 3- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
12126c |
Isogeny class |
Conductor |
12126 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
48784301899776 = 214 · 36 · 432 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-86245,-9750064] |
[a1,a2,a3,a4,a6] |
Generators |
[1414:51215:1] |
Generators of the group modulo torsion |
j |
70944421714660788553/48784301899776 |
j-invariant |
L |
3.8207707470929 |
L(r)(E,1)/r! |
Ω |
0.27860223904487 |
Real period |
R |
4.571356832584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97008t2 36378h2 |
Quadratic twists by: -4 -3 |