Atkin-Lehner |
3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
9999d |
Isogeny class |
Conductor |
9999 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
21867813 = 39 · 11 · 101 |
Discriminant |
Eigenvalues |
-2 3+ 0 -1 11- 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-135,560] |
[a1,a2,a3,a4,a6] |
Generators |
[3:13:1] |
Generators of the group modulo torsion |
j |
13824000/1111 |
j-invariant |
L |
2.4367016706741 |
L(r)(E,1)/r! |
Ω |
2.0984100638284 |
Real period |
R |
0.58060664897607 |
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 |
9999b1 109989b1 |
Quadratic twists by: -3 -11 |