Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ca |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.540915901908E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116085377,-494512633215] |
[a1,a2,a3,a4,a6] |
Generators |
[35253294461539909111:2689815301800574878400:2285310814367959] |
Generators of the group modulo torsion |
j |
-16354376146655191/523792501128 |
j-invariant |
L |
5.6855619331489 |
L(r)(E,1)/r! |
Ω |
0.022953929066976 |
Real period |
R |
30.961812031603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304ih2 3822bd2 122304dm2 |
Quadratic twists by: -4 8 -7 |