Atkin-Lehner |
2- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
68432j |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1.0345465716636E+23 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 0 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5649912,-14588154640] |
[a1,a2,a3,a4,a6] |
j |
4869548973083422640375/25257484659756178648 |
j-invariant |
L |
1.9193934650225 |
L(r)(E,1)/r! |
Ω |
0.053316485276585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554f2 |
Quadratic twists by: -4 |