Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cn |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2569011200 = 221 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2928,-59968] |
[a1,a2,a3,a4,a6] |
Generators |
[296:4992:1] |
Generators of the group modulo torsion |
j |
553463785/512 |
j-invariant |
L |
7.3828939486403 |
L(r)(E,1)/r! |
Ω |
0.649035641495 |
Real period |
R |
2.8437937289678 |
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 |
2450x2 78400ij2 19600dy2 19600bv2 |
Quadratic twists by: -4 8 5 -7 |