Atkin-Lehner |
2+ 3+ 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210j |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-89972820 = -1 · 22 · 32 · 5 · 72 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,63,441] |
[a1,a2,a3,a4,a6] |
Generators |
[0:21:1] |
Generators of the group modulo torsion |
j |
26973008999/89972820 |
j-invariant |
L |
3.4099316988274 |
L(r)(E,1)/r! |
Ω |
1.3511469027838 |
Real period |
R |
0.63093281933332 |
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 |
63630bf2 106050cf2 |
Quadratic twists by: -3 5 |