Atkin-Lehner |
3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
11715g |
Isogeny class |
Conductor |
11715 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
89673416415 = 35 · 5 · 114 · 712 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6301,191450] |
[a1,a2,a3,a4,a6] |
Generators |
[1318:-15905:8] [19:271:1] |
Generators of the group modulo torsion |
j |
27666642529024849/89673416415 |
j-invariant |
L |
4.3446219055527 |
L(r)(E,1)/r! |
Ω |
1.0779550055144 |
Real period |
R |
0.4030429733456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35145j2 58575g2 128865n2 |
Quadratic twists by: -3 5 -11 |