Atkin-Lehner |
2+ 5+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20930a |
Isogeny class |
Conductor |
20930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
3571805968640 = 28 · 5 · 74 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-121325,16295845] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1403:1] |
Generators of the group modulo torsion |
j |
197504331936229055529/3571805968640 |
j-invariant |
L |
2.7809088618376 |
L(r)(E,1)/r! |
Ω |
0.7258377940622 |
Real period |
R |
1.9156544923584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104650ba1 |
Quadratic twists by: 5 |