Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1248c |
Isogeny class |
Conductor |
1248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1601419382784 = -1 · 212 · 34 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -2 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2497,-78385] |
[a1,a2,a3,a4,a6] |
j |
-420526439488/390971529 |
j-invariant |
L |
2.6018461727784 |
L(r)(E,1)/r! |
Ω |
0.3252307715973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1248f2 2496f1 3744l2 31200bp2 |
Quadratic twists by: -4 8 -3 5 |