Atkin-Lehner |
3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
9999c |
Isogeny class |
Conductor |
9999 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-51563159170569783 = -1 · 39 · 1110 · 101 |
Discriminant |
Eigenvalues |
1 3+ 0 2 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76047,-13564576] |
[a1,a2,a3,a4,a6] |
Generators |
[1628560:17008987:4096] |
Generators of the group modulo torsion |
j |
-2471052032539875/2619679884701 |
j-invariant |
L |
5.5854413068035 |
L(r)(E,1)/r! |
Ω |
0.13794424184048 |
Real period |
R |
8.0981144733285 |
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 |
9999a2 109989a2 |
Quadratic twists by: -3 -11 |