Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cp |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-210827008000000 = -1 · 214 · 56 · 77 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10208,806912] |
[a1,a2,a3,a4,a6] |
Generators |
[322:5550:1] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
7.2315577583411 |
L(r)(E,1)/r! |
Ω |
0.50236187527261 |
Real period |
R |
3.5987791442258 |
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 |
2450y1 78400il1 784j1 2800v1 |
Quadratic twists by: -4 8 5 -7 |