Atkin-Lehner |
2- 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336bk |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.916263125486E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115376259,-676074517522] |
[a1,a2,a3,a4,a6] |
Generators |
[196674924702182231287047965765:-26334618780271500687471865611136:8218489223114479073173375] |
Generators of the group modulo torsion |
j |
-227533625337837597295108/132837458278221925767 |
j-invariant |
L |
8.5298404553431 |
L(r)(E,1)/r! |
Ω |
0.022430269847523 |
Real period |
R |
47.535319872944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000183053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112b3 |
Quadratic twists by: -3 |