Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bi |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
147733295620143870 = 2 · 37 · 5 · 72 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11929995,-15857201489] |
[a1,a2,a3,a4,a6] |
Generators |
[-1993:1073:1] [4011:26437:1] |
Generators of the group modulo torsion |
j |
53365044437418169/41984670 |
j-invariant |
L |
7.7285830395595 |
L(r)(E,1)/r! |
Ω |
0.081234312265585 |
Real period |
R |
23.784847878708 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490cn4 8190by3 |
Quadratic twists by: -3 13 |