Atkin-Lehner |
2+ 3+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12546a |
Isogeny class |
Conductor |
12546 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-75276 = -1 · 22 · 33 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6,16] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] [0:4:1] |
Generators of the group modulo torsion |
j |
-970299/2788 |
j-invariant |
L |
4.1729221414106 |
L(r)(E,1)/r! |
Ω |
3.0341071475748 |
Real period |
R |
0.34383444110933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100368bf1 12546i1 |
Quadratic twists by: -4 -3 |