Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21756f |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6061065652992 = 28 · 3 · 78 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 4 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39020,2977416] |
[a1,a2,a3,a4,a6] |
Generators |
[1818:19257:8] |
Generators of the group modulo torsion |
j |
218156637904/201243 |
j-invariant |
L |
3.5078772378758 |
L(r)(E,1)/r! |
Ω |
0.75126978701977 |
Real period |
R |
4.6692643554738 |
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 |
87024dy2 65268l2 3108h2 |
Quadratic twists by: -4 -3 -7 |