Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696di |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-28163176312651776 = -1 · 214 · 36 · 119 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 11- -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336864,-75685984] |
[a1,a2,a3,a4,a6] |
Generators |
[175662883:3323707981:205379] |
Generators of the group modulo torsion |
j |
-199794688/1331 |
j-invariant |
L |
4.3742883442944 |
L(r)(E,1)/r! |
Ω |
0.099045111248549 |
Real period |
R |
11.041151575619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696gv2 4356h2 7744h2 6336r2 |
Quadratic twists by: -4 8 -3 -11 |