Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21780t |
Isogeny class |
Conductor |
21780 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-2822688000 = -1 · 28 · 36 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3927,-94754] |
[a1,a2,a3,a4,a6] |
Generators |
[510:11426:1] |
Generators of the group modulo torsion |
j |
-296587984/125 |
j-invariant |
L |
5.7017567129642 |
L(r)(E,1)/r! |
Ω |
0.30153890565517 |
Real period |
R |
6.3029530695501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120ft2 2420c2 108900bt2 21780u2 |
Quadratic twists by: -4 -3 5 -11 |