Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712o |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-125348445511744 = -1 · 26 · 74 · 138 |
Discriminant |
Eigenvalues |
2+ -2 3 7+ 0 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8056,-458522] |
[a1,a2,a3,a4,a6] |
Generators |
[6305:35066:125] |
Generators of the group modulo torsion |
j |
1107392/2401 |
j-invariant |
L |
4.901665993028 |
L(r)(E,1)/r! |
Ω |
0.30498356806443 |
Real period |
R |
8.0359509586747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712bh1 37856d1 75712bk1 |
Quadratic twists by: -4 8 13 |