Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cc |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-21082700800000000 = -1 · 216 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45325,-5916750] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1078:1] |
Generators of the group modulo torsion |
j |
1367631/2800 |
j-invariant |
L |
4.0662270928965 |
L(r)(E,1)/r! |
Ω |
0.19950784807355 |
Real period |
R |
2.547661114688 |
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 |
2450e1 78400gy1 3920ba1 2800o1 |
Quadratic twists by: -4 8 5 -7 |