Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880c |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-38023147008000 = -1 · 212 · 39 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 4 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26568,1693008] |
[a1,a2,a3,a4,a6] |
Generators |
[168:1404:1] |
Generators of the group modulo torsion |
j |
-25724625408/471625 |
j-invariant |
L |
6.1237140902991 |
L(r)(E,1)/r! |
Ω |
0.64921810235623 |
Real period |
R |
2.3581112852331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999270439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110880cd1 110880ch1 |
Quadratic twists by: -4 -3 |