Atkin-Lehner |
3+ 11- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
22737c |
Isogeny class |
Conductor |
22737 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
22737 = 3 · 11 · 13 · 53 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-474,-4170] |
[a1,a2,a3,a4,a6] |
Generators |
[36:146:1] [51:302:1] |
Generators of the group modulo torsion |
j |
11779205551777/22737 |
j-invariant |
L |
4.0681749362619 |
L(r)(E,1)/r! |
Ω |
1.0231757714722 |
Real period |
R |
15.904109732417 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68211b1 |
Quadratic twists by: -3 |