Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474n |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.0070786612554E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4124538,-3234415820] |
[a1,a2,a3,a4,a6] |
Generators |
[14670:812135:8] |
Generators of the group modulo torsion |
j |
226256177900375/262624247808 |
j-invariant |
L |
3.2433585950297 |
L(r)(E,1)/r! |
Ω |
0.069951101059452 |
Real period |
R |
5.7957604340013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28158l2 4446u2 |
Quadratic twists by: -3 -19 |