Atkin-Lehner |
2+ 3+ 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210l |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-8368007812500 = -1 · 22 · 3 · 510 · 7 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6127,228649] |
[a1,a2,a3,a4,a6] |
Generators |
[33:236:1] |
Generators of the group modulo torsion |
j |
-25443573183133561/8368007812500 |
j-invariant |
L |
3.702604235607 |
L(r)(E,1)/r! |
Ω |
0.69477103653744 |
Real period |
R |
0.53292437952794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630bm2 106050bu2 |
Quadratic twists by: -3 5 |