Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880a |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
4656960 = 26 · 33 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-213,1192] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:42:1] |
Generators of the group modulo torsion |
j |
618470208/2695 |
j-invariant |
L |
6.1398860035522 |
L(r)(E,1)/r! |
Ω |
2.4550836987028 |
Real period |
R |
1.2504433161524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880j1 110880cf1 |
Quadratic twists by: -4 -3 |