Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960bx |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-35081614131200 = -1 · 217 · 52 · 77 · 13 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -3 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25627,1604554] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:1568:1] [-182:490:1] |
Generators of the group modulo torsion |
j |
-3862503009/72800 |
j-invariant |
L |
6.4655248390593 |
L(r)(E,1)/r! |
Ω |
0.65344054560092 |
Real period |
R |
0.30920586820147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370y1 7280s1 |
Quadratic twists by: -4 -7 |