Atkin-Lehner |
2- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
99220d |
Isogeny class |
Conductor |
99220 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
158752000 = 28 · 53 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 1 5- 1 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205,-1025] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] |
Generators of the group modulo torsion |
j |
30908416/5125 |
j-invariant |
L |
9.1195289760167 |
L(r)(E,1)/r! |
Ω |
1.275402754586 |
Real period |
R |
2.3834376851639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99220c1 |
Quadratic twists by: -11 |