Atkin-Lehner |
3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21021j |
Isogeny class |
Conductor |
21021 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-163903953213 = -1 · 32 · 73 · 11 · 136 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-551,-20149] |
[a1,a2,a3,a4,a6] |
j |
-53796109375/477854091 |
j-invariant |
L |
2.5902179818506 |
L(r)(E,1)/r! |
Ω |
0.4317029969751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63063bd2 21021a2 |
Quadratic twists by: -3 -7 |