Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
3333g |
Isogeny class |
Conductor |
3333 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
23577118962309 = 32 · 1110 · 101 |
Discriminant |
Eigenvalues |
-2 3- 1 -2 11- -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-54367500,-154315008862] |
[a1,a2,a3,a4,a6] |
j |
17772225273611950625003524096/23577118962309 |
j-invariant |
L |
1.111974194926 |
L(r)(E,1)/r! |
Ω |
0.055598709746298 |
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 |
53328i2 9999h2 83325j2 36663k2 |
Quadratic twists by: -4 -3 5 -11 |