Atkin-Lehner |
3+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9999a |
Isogeny class |
Conductor |
9999 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-70731356886927 = -1 · 33 · 1110 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 0 2 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8450,505208] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:904:1] |
Generators of the group modulo torsion |
j |
-2471052032539875/2619679884701 |
j-invariant |
L |
2.7682265599138 |
L(r)(E,1)/r! |
Ω |
0.55967734657557 |
Real period |
R |
4.946111499512 |
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 |
9999c2 109989c2 |
Quadratic twists by: -3 -11 |