Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cx |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-322828856000000000 = -1 · 212 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -1 -3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-137200,33614000] |
[a1,a2,a3,a4,a6] |
Generators |
[42630:814625:216] |
Generators of the group modulo torsion |
j |
-110592/125 |
j-invariant |
L |
8.7217763491265 |
L(r)(E,1)/r! |
Ω |
0.27674003537761 |
Real period |
R |
3.9395168904753 |
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 |
1225d1 78400jb1 3920y1 19600da1 |
Quadratic twists by: -4 8 5 -7 |