Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350by |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-17550307584000000 = -1 · 214 · 313 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,35770,-5826603] |
[a1,a2,a3,a4,a6] |
Generators |
[233:3771:1] |
Generators of the group modulo torsion |
j |
444369620591/1540767744 |
j-invariant |
L |
7.5843271826509 |
L(r)(E,1)/r! |
Ω |
0.1981604367795 |
Real period |
R |
0.68345839450593 |
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 |
6450a1 774d1 |
Quadratic twists by: -3 5 |