Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696ck |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.785434979083E+25 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80117004,-342804118448] |
[a1,a2,a3,a4,a6] |
Generators |
[109949955412156529362:11890998586507734352296:6310395047325257] |
Generators of the group modulo torsion |
j |
-1343891598641864/421900912521 |
j-invariant |
L |
8.9564521138483 |
L(r)(E,1)/r! |
Ω |
0.024832610669582 |
Real period |
R |
22.542062313979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696cn3 34848cf2 23232cf3 6336bb4 |
Quadratic twists by: -4 8 -3 -11 |