Atkin-Lehner |
11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
12221c |
Isogeny class |
Conductor |
12221 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2800 |
Modular degree for the optimal curve |
Δ |
178927661 = 116 · 101 |
Discriminant |
Eigenvalues |
0 -2 -1 2 11- -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-161,402] |
[a1,a2,a3,a4,a6] |
Generators |
[18:60:1] |
Generators of the group modulo torsion |
j |
262144/101 |
j-invariant |
L |
2.2537243724359 |
L(r)(E,1)/r! |
Ω |
1.6423682156538 |
Real period |
R |
0.68612030814866 |
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 |
109989e1 101a1 |
Quadratic twists by: -3 -11 |