Atkin-Lehner |
3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21021b |
Isogeny class |
Conductor |
21021 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
194870156481 = 34 · 76 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21022,-1181734] |
[a1,a2,a3,a4,a6] |
j |
8732907467857/1656369 |
j-invariant |
L |
0.7929866532113 |
L(r)(E,1)/r! |
Ω |
0.39649332660565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63063t2 429b2 |
Quadratic twists by: -3 -7 |