Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880dg |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
62240270400 = 26 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-993,992] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:108:1] |
Generators of the group modulo torsion |
j |
2320940224/1334025 |
j-invariant |
L |
6.5857674427646 |
L(r)(E,1)/r! |
Ω |
0.94480522502509 |
Real period |
R |
1.7426256934122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001775 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110880ct1 36960n1 |
Quadratic twists by: -4 -3 |