Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ce |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
98883890380800 = 216 · 33 · 52 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13441,-366241] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:480:1] |
Generators of the group modulo torsion |
j |
4097989445764/1508848425 |
j-invariant |
L |
8.0786026842058 |
L(r)(E,1)/r! |
Ω |
0.45711694956426 |
Real period |
R |
1.4727454222382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999324476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680dq1 15960a1 |
Quadratic twists by: -4 8 |