Atkin-Lehner |
2+ 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110x |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
214573239881000000 = 26 · 56 · 7 · 119 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-264993,47517908] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:10120:1] |
Generators of the group modulo torsion |
j |
1161631688686561/121121000000 |
j-invariant |
L |
3.7092428225466 |
L(r)(E,1)/r! |
Ω |
0.30631212222222 |
Real period |
R |
1.0091130743816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010z1 |
Quadratic twists by: -11 |