Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540m |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
101122560 |
Modular degree for the optimal curve |
Δ |
-2.415182553019E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9021014045,-329790661927143] |
[a1,a2,a3,a4,a6] |
Generators |
[2422745418152:2626077380000625:2048383] |
Generators of the group modulo torsion |
j |
-65703682316544535580729344/1954563946435546875 |
j-invariant |
L |
6.312309491829 |
L(r)(E,1)/r! |
Ω |
0.007745597838669 |
Real period |
R |
18.521692237045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8580a1 |
Quadratic twists by: 13 |