Atkin-Lehner |
2+ 3- 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
38106c |
Isogeny class |
Conductor |
38106 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-12797427511902996 = -1 · 22 · 36 · 29 · 736 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 3 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,55719,-2013039] |
[a1,a2,a3,a4,a6] |
Generators |
[3085852:34620285:79507] |
Generators of the group modulo torsion |
j |
26242290562756463/17554770249524 |
j-invariant |
L |
3.8378557968652 |
L(r)(E,1)/r! |
Ω |
0.22699745891357 |
Real period |
R |
12.680282243796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4234b2 |
Quadratic twists by: -3 |