Atkin-Lehner |
2- 3- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
20646w |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-3284772213828169728 = -1 · 212 · 312 · 313 · 373 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-327515,113255435] |
[a1,a2,a3,a4,a6] |
Generators |
[-405:13594:1] |
Generators of the group modulo torsion |
j |
-5329525276894443625/4505860375621632 |
j-invariant |
L |
7.8787654059027 |
L(r)(E,1)/r! |
Ω |
0.23030100939075 |
Real period |
R |
1.4254470389907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6882g2 |
Quadratic twists by: -3 |