Atkin-Lehner |
2+ 3+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20646d |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-6682614696 = -1 · 23 · 39 · 31 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 -3 -5 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-879,10997] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:133:1] [13:34:1] |
Generators of the group modulo torsion |
j |
-3818360547/339512 |
j-invariant |
L |
5.5833167078769 |
L(r)(E,1)/r! |
Ω |
1.3037441635913 |
Real period |
R |
1.0706311989341 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20646n1 |
Quadratic twists by: -3 |