Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600c |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
600250000 = 24 · 56 · 74 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -3 6 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-2813] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:7:1] |
Generators of the group modulo torsion |
j |
12544 |
j-invariant |
L |
4.0298470853888 |
L(r)(E,1)/r! |
Ω |
1.0674234005858 |
Real period |
R |
1.2584344329149 |
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 |
9800x1 78400gb1 784a1 19600l1 |
Quadratic twists by: -4 8 5 -7 |