Atkin-Lehner |
2- 3+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20646p |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
3484800 |
Modular degree for the optimal curve |
Δ |
-5.6659024735113E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 -3 -5 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-301228649,2012374397865] |
[a1,a2,a3,a4,a6] |
Generators |
[10055:924:1] |
Generators of the group modulo torsion |
j |
-111956359660351895641606773939/2098482397596778496 |
j-invariant |
L |
8.89233299411 |
L(r)(E,1)/r! |
Ω |
0.1424608050473 |
Real period |
R |
0.52016254524403 |
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 |
20646f1 |
Quadratic twists by: -3 |