Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21756p |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23378396090112 = 28 · 34 · 77 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7268,50196] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:294:1] |
Generators of the group modulo torsion |
j |
1409938000/776223 |
j-invariant |
L |
5.8519994244719 |
L(r)(E,1)/r! |
Ω |
0.58674742620568 |
Real period |
R |
1.2467032583157 |
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 |
87024cm2 65268o2 3108c2 |
Quadratic twists by: -4 -3 -7 |