Atkin-Lehner |
2- 3- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21630w |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
-701785350000000 = -1 · 27 · 33 · 58 · 72 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9044,-1230064] |
[a1,a2,a3,a4,a6] |
Generators |
[236:3632:1] |
Generators of the group modulo torsion |
j |
81809242591309631/701785350000000 |
j-invariant |
L |
8.4754459182327 |
L(r)(E,1)/r! |
Ω |
0.25196886261389 |
Real period |
R |
0.80087805014114 |
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 |
64890bb2 108150q2 |
Quadratic twists by: -3 5 |